Find the derivative of $y = x^{1/2}$ by using differentiation from first principle.
139216
Use the definition of derivative to find $f'(x)$ for $f(x) = x^{1/2}$.
123731
Plotting the solution of a differential equation with its derivative
151297
Second order partial of $f(x,y)=\frac{xy(x^2-y^2)}{x^2+y^2}$
99795
Derivative of piece-wise function given by $x\sin\frac1x$ at $x=0$
144644
Solution of $\frac{dy}{dx}=\frac{1}{xy(x^2 \sin y^2+1)}$
42708
Numerical Differentiation using Taylor series
75216
What is the derivative of this?
85386
Differential equation $y''=\frac{y'}{2\sqrt y}$
56424
Using D to find a symbolic derivative
108808
$x =r\cos \theta$ and $y = r\sin\theta$, determine $\frac{\partial r}{\partial x}$ and $\frac{\partial \theta}{\partial x}$
157918
Finding the derivative of $x^x$
87613
Infinitely differentiable functions: how to prove that $e^\frac{1}{x^2-1}$ has derivative of any order?
158610
Why is the differentiation of $e^x$ is $e^x$?
64437
Proof by induction (power rule of the derivative)
17475
Find the derivative of $y= \frac{(4x^3 +8)^{\frac{1}{3}}}{(x+2)^5}$
115712
Application of Derivatives rigorous proof
60321
Use the definition of derivative to prove $\lim_{x\to 0}\ln(x+1)/x =1$