Find $(f^{-1})'(a) = f(x) = 2x^3 + 3x^2+7x+4, a=4 $
137550
Finding the derivatives of inverse functions at given point of c
24810
Functions satisfying $(b-a)f'(\tfrac{a+b}{2}) = f(b)- f(a)$
100971
How to simplify the series of $x + x^{-1} + (x + x^{-1})^{-1} + (x + x^{-1} + (x + x^{-1})^{-1})^{-1}$?
48652
Solve the functional equation $2f(x)=f(ax)$ for some $a$.
139436
Show function $f(x,y)=(x^2-y^2,2xy)$ is $1$-$1$ by Inverse Function Theorem
124581
Solving $x^2 - 1 = e^x$
142682
Find $f(x)$ where $ f(x)+f\left(\frac{1-x}x\right)=x$
108633
Why $f^{-1}(f(A)) \not= A$
42699
Solve for $f(x)$ if $f(f(x))=6x-f(x)$
79212
Find the general solution of $y'= a^{x + y}$ where y is the function
34059
$(a^{2^n}+1,a^{2^m}+1)=1 or 2$
409
functions satisfying $f(x - y) = f(x) f(y) - f(a - x) f(a + y)$ and $f(0)=1$
61782
How to prove that $f(x) = \frac{-2x+1}{(2x-1)^2-1}$ is one-to-one on $(0,1)$?
15985
simplify $(a_1 + a_2 +a_3+... +a_n)^m$
82597
How to find $ f(x)$ if $f(1-f(x))=x$ for all $x$ $\in \mathbb{R}$
82317
Find the minimum value of $A=\frac{2-a^3}{a}+\frac{2-b^3}{b}+\frac{2-c^3}{c}$
62055
Solve $\frac{d}{dx}f(x)=f(x-1)$