Explained: "Find the derivatives of the following functions. f(x)=sin⁡h(4x)" - Plainmath

Carol Gates

Answered question

2021-03-15

Find the derivatives of the following functions.

f (x) = \sin h (4 x)

Answer & Explanation

broliY

Skilled2021-03-17Added 97 answers

Step 1
Given information:

f (x) = \sin h (4 x)

We have to given the sinh function, need to derivative
To derivate, it needs to apply the chain rule,

\frac{d}{d x} (f (g x)) = \frac{d f (x)}{d x} (\frac{d g (x)}{d x})

Step 2
Apply the chain rule,

\frac{d}{d x} (\sin h (4 x)) = \cos h (4 x) \frac{d}{d x} (4 x)

= \cos h (4 x) \cdot 4

This is the required solution.

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