"Find derivatives of the functions defined as follows:..." was answered by our experts

Suman Cole

Answered question

2021-10-12

Find derivatives of the functions defined as follows:

y = e^{4 x}

Answer & Explanation

SoosteethicU

Skilled2021-10-13Added 102 answers

Step 1
The derivative of function to be found out is

y = e^{4 x}

Step 2
Derivation of the function gives

y = e^{4 x}

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

= e^{4 x} \times \frac{d 4 x}{d x}

(By chain rule)

= e^{4 x} \times 4

= 4 e^{4 x}

Therefore, Derivation of

y = e^{4 x} i s 4 e^{4 x}

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