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Given the function f(x)=3x2+2x+1f(x)=3x^2+2x+1f(x)=3x2+2x+1 defined only for x>0,x > 0,x>0, what is the value of (f−1)′(6)?\left(f^{-1}\right)'(6)?(f−1)′(6)?
Given the function f(x)=5lnx4,f(x)=5\ln\frac{x}{4},f(x)=5ln4x, what is the value of (f−1)′(ln32)?\left(f^{-1}\right)'(\ln32)?(f−1)′(ln32)?
If f(x)=5sin−13x,f(x)=5\sin^{-1}3x,f(x)=5sin−13x, what is the value of f′(36)?f'\left(\frac{\sqrt{3}}{6} \right)?f′(63)?
Given f(x)=5x+1xf(x)=5x+\frac{1}{x}f(x)=5x+x1 in the domain x>12, x > \frac{1}{2} ,x>21, what is (f−1)′(6)?\left(f^{-1}\right)'(6)?(f−1)′(6)?
Let f(x)f(x)f(x) be a differentiable function and let g(x)g(x)g(x) be the inverse of f(x)f(x)f(x). If f(2)=6f(2)=6f(2)=6 and f′(2)=15,f'(2)=\frac{1}{5},f′(2)=51, what is the value of g′(6)?g'(6)?g′(6)?
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