In calculus, the first derivative of a function f(x) describes a rate of change for the function and is denoted using f^1(x). The function f(x) = -cscx - sinx has the first derivative as f^1(x) = cscxcotx - cosx. Manipulate and write out the expression for f^1(x) to show that f^1(x) = cosxcot^2x. In calculus the first derivative of a function f (x) describes a rate of change for the function and is denotedusing f' (x). The function f(x)Manipulate the expression for f' (x) to show that f' (x) = cosxcot²xsinx has first derivative as f'(x) = cscxcotx-CSCXCOSX.

In this problem, we have to use one of the trigonometric identities.

In calculus the first derivative of a function f (x) describes a rate of change for the function and is denoted using f' (x). The function f(x) Manipulate the expression for f'(x) to show that f' (x) = cosxcot²x = -cscx – sinx has first derivative as f'(x) = cscxcotx – cosx.

In calculus the first derivative of a function f (x) describes a rate of change for the function and is denoted using f' (x). The function f(x) Manipulate the expression for f'(x) to show that f' (x) = cosxcot²x = -cscx – sinx has first derivative as f'(x) = cscxcotx – cosx.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...

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In calculus, the first derivative of a function f(x) describes a rate of change for the function and is denoted using f^1(x). The function f(x) = -cscx - sinx has the first derivative as f^1(x) = cscxcotx - cosx. Manipulate and write out the expression for f^1(x) to show that f^1(x) = cosxcot^2x.

In calculus the first derivative of a function f (x) describes a rate of change for the function and is denoted
using f' (x). The function f(x)
Manipulate the expression for f' (x) to show that f' (x) = cosxcot²x
sinx has first derivative as f'(x) = cscxcotx
-CSCX
COSX.

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