Find the derivative of the function.

{eq}2y=x^{2}+\sin y {/eq}

Question

Question:

Find the derivative of the function.

{eq}2y=x^{2}+\sin y {/eq}

This question is an example of explicit differentiation.

In this question we to derivate first with respect have to respective variable and then arrange properly in order to get dy/dx.

Hence we will get required answer.

Become a Study.com member to unlock this answer! Create your account

Differential Calculus | Definition, Applications & Examples

from

Chapter 13 / Lesson 6

35K

This lesson explores differential calculus. It defines a differential and delves into the many uses of differential equations.

Search

Browse

Accepted Answer

We have,

{eq}2y=x^{2}+\sin y {/eq}

Differentiating both sides,

{eq}(2y)' = (x^{2}+\sin y)' \\ 2 \ dy = 2x \ dx + \cos y \ dy \\ \text{On...