"Calculating derivatives Find the derivative of the following..." was answered by students like you

Bobbie Comstock

Answered question

2021-12-06

Calculating derivatives Find the derivative of the following functions.

y = \sin x + 4^{e x}

Answer & Explanation

Piosellisf

Beginner2021-12-07Added 40 answers

Step 1
Given function:

y = \sin x + 4^{e x}

Taking derivative with respect to x :

\frac{d y}{d x} = \frac{d}{d x} (\sin x + 4 e^{x})

\frac{d y}{d x} = \frac{d}{d x} (\sin x) + 4 \frac{d}{d x} (e^{x})

Step 2
Using the rules of derivative:

\frac{d y}{d x} = \cos x + 4 e^{x}

Hence,
The derivative of the following function is :

y^{'} (x) = \cos x + 4 e^{x}

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