Find f'(x) if f(x)=(x^ 2 +3x+4)^ 7 . - Vidyadip

Question

Find $f'(x)$ if $f(x)=(x^{2}+3x+4)^{7}.$

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Answer

Using Chain Rule :
$f'(x) = 7(x^2 + 3x + 4)^{7-1} \cdot \frac{d}{dx}(x^2 + 3x + 4)$
$f'(x) = 7(x^2 + 3x + 4)^6 (2x + 3)$.

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