Differentiate the function f(x) = (3x^{2} + x - 2)^{2}

feminizmiki

feminizmiki

Answered question

2022-01-14

Differentiate the function f(x)=(3x2+x2)2 in two ways. (a) Use the general power rule. (b) Multiply 3x2+x2 by itself and then differentiate the resulting polynomial.

Answer & Explanation

Samantha Brown

Samantha Brown

Beginner2022-01-15Added 35 answers

Step 1
To differentiate
f(x)=(3x2+x2)2 in two ways
Step 2
y=(3x2+x2)2y=2(3x2+x2)(6x+1)
=(6x2+2x4)(6x+1)
=36x3+6x2+12x2+2x24x4
=36x3+18x222x4
y=(3x2+x2)(3x2+x2)
=9x4+3x36x2+3x3+x22x6x22x+4
y=9x4+6x311x24x+4
y=36x3+18x222x4

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