Partial Derivatives : Show that $\frac{∂x}{∂y}\frac{∂y}{∂z}\frac{∂z}{∂x}=-1$
3406
Prove that $\frac{\partial x}{\partial y} \frac{\partial y}{\partial z} \frac{\partial z}{\partial x} = -1$ and verify ideal gas law
146888
Derivative of function with 2 variables
80471
Derivative of $(y-XB)' h(y-XB)$ with respect to $B$
109943
Estimates of the value of a holomorphic function and its derivative
72906
Is $\frac{\partial}{\partial x_1}=\frac{\partial}{\partial y_1}$ if $x_1=y_1$?
12726
Differentiating both sides of a non-differential equation
105527
Show that $\lim_{r\to 0} \frac{1}{r^2}\int_{C_{r}}f(z)dz = 2 \pi i\frac{\partial f}{\partial \bar{z}}(z_0)$
52701
Manipulating Partial Derivatives of Inverse Function
143491
Show that $f$ is differentiable on $(−1, 1)$.
60321
Use the definition of derivative to prove $\lim_{x\to 0}\ln(x+1)/x =1$
75548
second derivative of the inverse function
45363
Show that both mixed partial derivatives exist at the origin but are not equal
46310
Showing that $ \int_{0}^{1} \frac{x-1}{\ln(x)} \mathrm dx=\ln2 $
27862
Symbols of derivatives
100608
Prove that $\|v\|_{H^1(\Omega )}\leq C(\|f\|_{L^2(\Omega )}+\|v\|_{H^{1/2}(\partial \Omega )}+\|\partial _\nu v\|_{H^{1/2}(\partial \Omega )}))$
139453
Prove that $\frac{1}{f'(a)} = \frac{1}{2\pi i} \int_C \frac{1}{f(z)-f(a)} dz$
885
Why is the 2nd derivative written as $\frac{\mathrm d^2y}{\mathrm dx^2}$?