Question

Let f(x)=-3x^(4)lnx f^(')(x)= f^(')(e^(3))= Let $f(x) = -3x^4 \ln x$ $f'(x) =$ $f'(e^3) =$

Name: let fx 3x4lnx fx fe3 let fx 3x4 ln x fx fe3 66045
Uploaded: 2024-04-15T20:15:12-08:00
Duration: 1 min 51 s
Channel: Zhumagali Shomanov
Description: let fx 3x4lnx fx fe3 let fx 3x4 ln x fx fe3 66045

          Let
f(x)=-3x^(4)lnx
f^(')(x)=
f^(')(e^(3))=
Let
$f(x) = -3x^4 \ln x$
$f'(x) =$
$f'(e^3) =$

Added by Alba W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zhumagali Shomanov

04/15/2024

Step 1

We need to find the derivative $f'(x)$. We will use the product rule, which states that if $f(x) = u(x)v(x)$, then $f'(x) = u'(x)v(x) + u(x)v'(x)$. In our case, let $u(x) = -3x^4$ and $v(x) = \ln x$. Then $u'(x) = -12x^3$ and $v'(x) = \frac{1}{x}$. Applying the Show more…

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