AP Calc Crash Course for Spring 2021 โ™พ๏ธ

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๐Ÿ‘‘ย  Unit 1: Limits & Continuity

๐Ÿถย  Unit 8: Applications of Integration

โ™พย  Unit 10: Infinite Sequences and Series (BC Only)

2.10 Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions

#derivatives

#trigonometricfunctions

โฑ๏ธย ย 1 min read

written by

Sumi Vora

sumi vora


Derivatives of Special Functions, Continued!๐Ÿ’ฌ

๐ŸŽฅWatch: AP Calculus AB/BC - Practicing Derivative Rules

Remember the cheat sheet from the previous article on the derivatives of sin(x), cos(x), e^x, and ln(x)?

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(393).png?alt=media&token=a2482081-9737-4f9a-901c-5f963068d6c1

We previously focused on the first two equation on the list, but now we're going to expand what you know to the rest of the left side of the table. The same idea used before applies here as well!

Example: Find the derivative of f(x) = tan 2x.

Based on the model above, u = 2x.

f'(x) = 2sec^2 (2x).

Example: Find the derivative of f(x) = -cot x.

Be careful with signs! Make sure not to confuse the given sign (-) and the sign of the derivative (also -). They're not the same!

f'(x) = -[-csc^2 (x)]

f'(x) = csc^2 (x).

continue learning

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