Find the derivative for the given function. Write your answer using positive and

Harlen Pritchard

Harlen Pritchard

Answered question

2021-09-17

Find the derivative for the given function. Write your answer using positive and negative exponents and fractional exponents instead radicals.
h(x)=((6x46x+9)(7x2+9x+8))12

Answer & Explanation

stuth1

stuth1

Skilled2021-09-18Added 97 answers

Given:
h(x)=((6x46x+9)(7x2+9x+8))12
We have to find h'(x)
We have,
h(x)=((6x46x+9)(7x2+9x+8))12
We have to use the chain rule and product rule to differentiate h(x) with respective x:
h(x)=12((6x46x+9)(7x2+9x+8))121
ddx((6x46x+9)(7x2+9x+8))
=12((6x46x+9)(7x2+9x+8))12((6x46x+9)ddx(7x2+9x+8)+(7x2+9x+8)ddx(6x46x+9))
=12((6x46x+9)(14x+9)+(7x2+9x+8)(24x416))
=12((6x46x+9)(7x2+9x+8))12((6x46x+9)(14x+9)+(7x2+9x+8)(24x56)
Hence,

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