I need step by step instructions on how this problem is done: {y}'' for y = (x^{2} + 9)^4 gives...

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I need step by step instructions on how this problem is done:

{eq}{y}'' {/eq} for {eq}y = (x^{2} + 9)^4 {/eq} gives {eq}8(x^{2} + 9)^3 + 48x^{2}(x^{2} + 9)^2 = 8(x^{2} + 9)^2(7x^{2} + 9) {/eq}

Double Differentiation :

You have to differentiate this function twice. First take the first derivative of this function. You need to apply chain rule of differentiation. Then again you have to differentiate this with respect to x. Pull out the common factors if it exists there.

Answer and Explanation: 1

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{eq}y = (x^{2} + 9)^4 {/eq}

We need second derivative of this function . Differentiate this function twice to get {eq}y'' {/eq}

{eq}y'=\frac{dy}{d...

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Using the Chain Rule to Differentiate Complex Functions

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Chapter 8 / Lesson 6
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Learn how to differentiate a function using the chain rule of differentiation. Find various chain rule derivative examples with various function types.


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