Question

Let [ egin{array}{l} f(x)=-2 x^{6} ln x \ f^{prime}(x)=square \ f^{prime}left(e^{2} ight)=square end{array} ]

          Let
[
egin{array}{l}
f(x)=-2 x^{6} ln x \
f^{prime}(x)=square \
f^{prime}left(e^{2}
ight)=square
end{array}
]

Added by Molly S.

Differential Calculus Booster with Problems and Solutions for JEE Main and Advanced

Rejaul Makshud 2019 Edition

Chapter 6

Instant Answer

Solved by Expert Zhumagali Shomanov

04/15/2024

Step 1

The product rule states that if we have a function that is the product of two functions, say \(u(x)\) and \(v(x)\), then the derivative of this function with respect to \(x\) is given by \(u'(x)v(x) + u(x)v'(x)\). In our case, \(u(x) = -2x^6\) and \(v(x) = \ln Show more…

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