Question

(3) Differentiate the following w.rit. x
(1) (x2 + 4x + 1)3' + (x3 – 5x – 2)4
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Answer 1

Answer:

4x3+3x2−8x−5

Step-by-step explanation:

Let's simplify step-by-step.

(x2+4x+1)(3)+(x3−5x−2)(4)

Distribute:

=(x2)(3)+(4x)(3)+(1)(3)+(x3)(4)+(−5x)(4)+(−2)(4)

=3x2+12x+3+4x3+−20x+−8

Combine Like Terms:

=3x2+12x+3+4x3+−20x+−8

=(4x3)+(3x2)+(12x+−20x)+(3+−8)

=4x3+3x2+−8x+−5

Answer:

=4x3+3x2−8x−5