Derivative Problem: $e^{-x}f(x)=2+\int{\sqrt{t^{4}+1}}dt$
53224
$e^{-x}f(x)=2+ \int_0^x\sqrt{t^4+1}dt$ function for finding the inverse
28297
derivative of x^x^x... to infinity?
158520
Derivative of Fourier transform: $F[f]'=F[-ixf(x)]$
86367
Computing $f(x)$ if $\int_1^{xy} f(t) dt = y \int_1^x f(t) dt + x\int_1^y f(t) dt$ and $f(1) = 3$
18201
Why isn't the derivative of $e^x$ equal to $xe^{(x-1)}$?
102013
The derivative of $e^x$ using the definition of derivative as a limit and the definition $e^x = \lim_{n\to\infty}(1+x/n)^n$, without L'Hôpital's rule
66181
Find the derivative of the function
105767
derivative under integral intuition
66406
How to calculate $f(x)$ in $f(f(x)) = e^x$?
67565
If $\int^x_0 f (t) dt =x+ \int^1_x t f (t) dt$, find value of $f(1)$
157918
Finding the derivative of $x^x$
65100
Derivative of the product of operators and Derivative of exponential
158610
Why is the differentiation of $e^x$ is $e^x$?
154223
Find the maximum value of $ f(x) = \int^{x}_{0} \sqrt{(x^2-x)^2+y^4}~dy$
23465
When $f(x+1)-f(x)=f'(x)$, what are the solutions for $f(x)$?
87613
Infinitely differentiable functions: how to prove that $e^\frac{1}{x^2-1}$ has derivative of any order?
139216
Use the definition of derivative to find $f'(x)$ for $f(x) = x^{1/2}$.