Calculate the derivative of the following functions 65. y = e+'sin x

Name: Calculate the derivative of the following functions 65. y = e+'sin x
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Description: Calculate the derivative of the following functions 65. y = e+'sin x

Given: y=ex2+1 sin x3 on differentiating dydx=ex2+1 ddxsin x3+sin x3…

Answered: 65. y = e+'sin x

Math

Calculus

65. y = e+'sin x

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter58: Achievement Review—section Five

Section: Chapter Questions

Problem 30AR: Determine dimension x to 3 decimal places.

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Topic Video

Question

Calculate the derivative of the following functions

Expert Solution

Step 1

Given:

$y = e^{x^{2} + 1} \sin x^{3}$

on differentiating

$\frac{d y}{d x} = e^{x^{2} + 1} \frac{d}{d x} (\sin x^{3}) + \sin x^{3} \frac{d}{d x} (e^{x^{2} + 1}) \frac{d y}{d x} = e^{x^{2} + 1} \cos x^{3} \frac{d}{d x} x^{3} + \sin x^{3} (e^{x^{2} + 1}) \frac{d}{d x} (x^{2} + 1)$

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