Is there any review of all the derivative in only one test

PearsonReview comes out with a book every year on the subjects of the AP Test. Within the book there are a few comprehensive practice testz which I found helpful. when I was studying. You can find a copy at you local library or buy one on amazon.

whats the "arc" in arctan arccos arcsine is it by accident ?

The "arc" part just means that it is the inverse of that trig identity. Arctan=tan^(-1)(x) which is the inverse of tan, arccos= cos^(-1)(x) which is the inverse of cosine, and arcsin=sin^(-1)(x) which is the inverse of sine.

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Class 12 math (India)

Course: Class 12 math (India) > Unit 5

Lesson 16: Derivatives capstone

Common derivatives review

Google Classroom

Review the differentiation rules for all the common function types.

Polynomials

start fraction, d, divided by, d, x, end fraction, left parenthesis, a, x, start superscript, n, end superscript, right parenthesis, equals, a, dot, n, x, start superscript, n, minus, 1, end superscript

Want to learn more about differentiating polynomials? Check out this video.

Radicals

start fraction, d, divided by, d, x, end fraction, root, start index, m, end index, equals, start fraction, d, divided by, d, x, end fraction, left parenthesis, x, start superscript, start superscript, start fraction, n, divided by, m, end fraction, end superscript, end superscript, right parenthesis, equals, start fraction, n, divided by, m, end fraction, x, start superscript, start superscript, start fraction, n, divided by, m, end fraction, minus, 1, end superscript, end superscript

Want to learn more about differentiating radicals? Check out this video.

Trigonometric functions

start fraction, d, divided by, d, x, end fraction, sine, left parenthesis, x, right parenthesis, equals, cosine, left parenthesis, x, right parenthesis

start fraction, d, divided by, d, x, end fraction, cosine, left parenthesis, x, right parenthesis, equals, minus, sine, left parenthesis, x, right parenthesis

start fraction, d, divided by, d, x, end fraction, tangent, left parenthesis, x, right parenthesis, equals, \sec, squared, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, cosine, squared, left parenthesis, x, right parenthesis, end fraction

start fraction, d, divided by, d, x, end fraction, cotangent, left parenthesis, x, right parenthesis, equals, minus, \csc, squared, left parenthesis, x, right parenthesis, equals, minus, start fraction, 1, divided by, sine, squared, left parenthesis, x, right parenthesis, end fraction

start fraction, d, divided by, d, x, end fraction, \sec, left parenthesis, x, right parenthesis, equals, \sec, left parenthesis, x, right parenthesis, tangent, left parenthesis, x, right parenthesis, equals, start fraction, sine, left parenthesis, x, right parenthesis, divided by, cosine, squared, left parenthesis, x, right parenthesis, end fraction

start fraction, d, divided by, d, x, end fraction, \csc, left parenthesis, x, right parenthesis, equals, minus, \csc, left parenthesis, x, right parenthesis, cotangent, left parenthesis, x, right parenthesis, equals, minus, start fraction, cosine, left parenthesis, x, right parenthesis, divided by, sine, squared, left parenthesis, x, right parenthesis, end fraction

Want to learn more about differentiating trigonometric functions? Check out this video about sine and cosine, this video about tangent and cotangent, and this video about secant and cosecant.

Exponential functions

start fraction, d, divided by, d, x, end fraction, left parenthesis, e, start superscript, x, end superscript, right parenthesis, equals, e, start superscript, x, end superscript

start fraction, d, divided by, d, x, end fraction, left parenthesis, a, start superscript, x, end superscript, right parenthesis, equals, natural log, left parenthesis, a, right parenthesis, dot, a, start superscript, x, end superscript

Want to learn more about differentiating exponential functions? Check out this video.

Logarithmic functions

start fraction, d, divided by, d, x, end fraction, natural log, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, x, end fraction

start fraction, d, divided by, d, x, end fraction, log, start base, b, end base, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, natural log, left parenthesis, b, right parenthesis, x, end fraction

Want to learn more about differentiating logarithmic functions? Check out this video.

Inverse trigonometric functions

start fraction, d, divided by, d, x, end fraction, \arcsin, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, square root of, 1, minus, x, squared, end square root, end fraction

start fraction, d, divided by, d, x, end fraction, \arccos, left parenthesis, x, right parenthesis, equals, minus, start fraction, 1, divided by, square root of, 1, minus, x, squared, end square root, end fraction

start fraction, d, divided by, d, x, end fraction, \arctan, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 1, plus, x, squared, end fraction

Want to learn more about differentiating inverse trigonometric functions? Check out this video about the inverse sine, this video about the inverse cosine, and this video about the inverse tangent.

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Dorcas Okese
Posted 7 years ago. Direct link to Dorcas Okese's post “Is there any review of al...”
Is there any review of all the derivative in only one test
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(1 vote)
Answer
- Austin Omlor
  Posted 7 years ago. Direct link to Austin Omlor's post “PearsonReview comes out w...”
  PearsonReview comes out with a book every year on the subjects of the AP Test. Within the book there are a few comprehensive practice testz which I found helpful. when I was studying. You can find a copy at you local library or buy one on amazon.
  Comment on Austin Omlor's post “PearsonReview comes out w...”
  (8 votes)
soraith
Posted 5 years ago. Direct link to soraith's post “whats the "arc" in arctan...”
whats the "arc" in arctan arccos arcsine is it by accident ?
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(0 votes)
Answer
- tammyla101
  Posted 5 years ago. Direct link to tammyla101's post “The "arc" part just means...”
  The "arc" part just means that it is the inverse of that trig identity. Arctan=tan^(-1)(x) which is the inverse of tan, arccos= cos^(-1)(x) which is the inverse of cosine, and arcsin=sin^(-1)(x) which is the inverse of sine.
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  (5 votes)