What is the derivative of $$y=\csc x$$ ?

$$\frac{dy}{dx}=-\csc x \cot x$$ .

What is the derivative of $$y=\ln x$$ ?

$$\frac{dy}{dx}=\frac{1}{x}$$ .

What is the derivative of $$y=\sec x$$ ?

$$\frac{dy}{dx}=\sec x \tan x$$ .

What is the derivative of $$y=\arcsin x$$ ?

$$\frac{dy}{dx}=\frac{1}{\sqrt{1-x^2}}$$ .

What is the derivative of $$y=\arccos x$$ ?

$$\frac{dy}{dx}=\frac{-1}{\sqrt{1-x^2}}$$ .

What is the derivative of $$y=\sqrt{x}$$ ?

$$\frac{dy}{dx}=\frac{1}{2\sqrt{x}}$$ .

Flashcard

•

Mathematics

•

12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-BF.B.4A, HSF-IF.C.8B

Standards-aligned

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FLASHCARD QUESTION

Front

What is the Chain Rule in calculus?

Back

The Chain Rule is a formula for computing the derivative of the composition of two or more functions. It states that if you have two functions, f(g(x)), the derivative is given by f'(g(x)) * g'(x).

FLASHCARD QUESTION

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Back

FLASHCARD QUESTION

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Back

FLASHCARD QUESTION

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