a) Find the derivative of f(x)=(2x+9)(8x−7) by first expanding the polynomials.

postillan4

postillan4

Answered question

2021-09-16

a) Find the derivative of f(x)=(2x+9)(8x7) by first expanding the polynomials.
b) Find the derivative of f(x)=(2x+9)(8x7) by using the product rule. Let g(x)=2x+9andh(x)=8x7

Answer & Explanation

Leonard Stokes

Leonard Stokes

Skilled2021-09-17Added 98 answers

a) f(x)=(2x+9)(8x7)
f(x)=16x214x+72x63
f(x)=16x2+58x63
f(x)=32x+58
b) f(x)=(2x+9)(8x7)
g(x)=(2x+9)
h(x)=8x7
g(x)=2
h(x)=8
f(x)=(2x+9)(8x7)=g(x)h(x)
f(x)=g(x)h(x)+h(x)g(x)
f(x)=(2x+9)(8)+(8x7)(2)
f(x)=16x+72+16x14
f(x)=32x58

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