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What is the derivative of y=4tan4x?y=4\tan^{4} x?y=4tan4x?
f(x)f(x)f(x) is a differentiable function such that f(2)=3f(2)=3f(2)=3 and f′(2)=3.f'(2)=3.f′(2)=3. If g(x)=(x2f(x))2,g(x)=\left(x^2f(x)\right)^2,g(x)=(x2f(x))2, what is the value of g′(2)?g'(2)?g′(2)?
What is the derivative of y=3x6−4?y=3 ^{x^ 6-4}?y=3x6−4?
Consider the function f(x)=log8[(3x−1)3].f(x)=\log_{8} \left[ (3x-1)^3 \right] .f(x)=log8[(3x−1)3]. What is the value of aaa such that f′(a)=9ln8?f'(a)=\frac{9}{\ln 8}?f′(a)=ln89?
If the instantaneous rate of change of y=sin−1(3x)y=\sin^{-1} (3x)y=sin−1(3x) at x=16x=\frac{1}{6}x=61 can be expressed as 18a,\frac{18}{\sqrt{a}},a18, what is the value of a?a?a?
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