How do you differentiate $f (x) = (x^{2} + 1) {(x + 2)}^{2} {(x - 3)}^{3}$ $f(x)= (x^2+1) (x+2)^2 (x-3)^3$ using the product rule?

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How do you differentiate $f (x) = (x^{2} + 1) {(x + 2)}^{2} {(x - 3)}^{3}$ $f(x)= (x^2+1) (x+2)^2 (x-3)^3$ using the product rule?

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Answer 1 · 2018-01-17T16:25:13

take log

Explanation:

after taking log
$log (f (x)) = log (x^{2} + 1) + 2 log (x + 2) + 3 log (x - 3)$ $log(f(x)) = log(x^2 + 1) + 2log(x + 2) + 3log(x - 3)$
now differentiating
$1/f(x)*f^'(x) = 2x/(x^2 + 1) + 2/(x+2) + 3/(x-3)$
now take f(x) to the other side and place it value
hence $f^'(x)$ can be found
hope u find it helpful :)

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How do you differentiate $f (x) = (x^{2} + 1) {(x + 2)}^{2} {(x - 3)}^{3}$ $f(x)= (x^2+1) (x+2)^2 (x-3)^3$ using the product rule?

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Explanation:

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How do you differentiate f(x)= (x^2+1) (x+2)^2 (x-3)^3f(x)=(x2+1)(x+2)2(x−3)3 f(x)= (x^2+1) (x+2)^2 (x-3)^3 using the product rule?

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Explanation:

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How do you differentiate $f (x) = (x^{2} + 1) {(x + 2)}^{2} {(x - 3)}^{3}$ $f(x)= (x^2+1) (x+2)^2 (x-3)^3$ using the product rule?