Question
Asked Sep 27, 2019
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Differentiate the following function: 

 

y= (-7x^4 + 10x^2/5 + 8) (x^2 + 10)

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Expert Answer

Step 1

The given expression is:

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y (-7x +10x25 +8) (x + 10)

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Step 2

Formula used:

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1. Power rule of differentiation (x*)'=n n- 2. Product rule of differentiation (f8) f8g

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Step 3

Differentiating the function y bot...

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dy = (-7x4 + 10x25 +8 dx d -7x410x25+8 dx 8). dr 10)+(x* +10 (-7x10x2 +8)(2x)+(x +10)(-28x +4x3 2/5 =-14x3 20x25+1 +16x-28x5 + 4x35+2 - 280x3 + 40x .-3/5 = -42x5 -280x3 +24x 7/5 +40x3516x

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Tagged in

Math

Calculus

Derivative