Multiply each function out and find the derivative of the

Monique Slaughter

Monique Slaughter

Answered question

2021-12-18

Multiply each function out and find the derivative of the higher-order polynomial.
(4x+6)(9x-5)

Answer & Explanation

eskalopit

eskalopit

Beginner2021-12-19Added 31 answers

Step 1
Multiply as shown below:
(4x+6)(9x5)=4x9x+4x(5)+69x+6(5)
(4x+6)(9x5)=36x2+34x30
Step 2
Obtain the derivative as shown below:
ddx(36x2+34x30)=ddx(36x2)+ddx(34x)ddx(30)
=72x+34-0
=72x+34
Here ddx(36x2)=36ddx(x2)=36(2x)=72x.
Raymond Foley

Raymond Foley

Beginner2021-12-20Added 39 answers

f(4x+6)(9x-5)
By using product rule
f'=(4x+6)'(9x-5)+(4x+6)(9x-5)'
=4*(9x-5)+(4x+6)*9
=36x-20+36x+54
=72x+34 (Ans).
Now,
f=(4x+6)(9x-5)
=36x220+54x30
=36x2+34x30
f'=72x+34
and f''=72
f'''=0 i.e f(3)(x)=0

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