List questions from derivatives

Published on 14 Apr 2026 - 9:05

533

Views

Find $\frac{dy}{dx}$ if $y=\sin^{-1}[x\sqrt{1-x}-\sqrt{x}\sqrt{1-x^2}]$, $0<x<1$

Published on 01 Apr 2018 - 8:26

539

Views

Product rule for quaternions

Published on 12 Apr 2026 - 2:40

654

Views

Derivation of geometric mean?

Published on 12 Apr 2026 - 18:24

948

Views

form PDE by eliminating the arbitrary constants $f$ and $g$ in:

Published on 14 Apr 2026 - 5:36

412

Views

Taylor's theorem and Lagrange remainders

Published on 27 Mar 2026 - 9:12

79

Views

Showing the Taylor expansion converges to the function

Published on 14 Apr 2026 - 4:14

138

Views

Use the chain rule to find the formula for $g^\prime (f(c))$

Published on 02 Apr 2018 - 1:26

2.2k

Views

prove that $sin$ is differentiable at 0, and find the derivative at 0.

Published on 02 Apr 2018 - 3:15

88

Views

Help to understand limits in multivariable calculus

Published on 09 Apr 2026 - 0:30

95

Views

Extrema of $(\tan{x})^{\sin{2x}}$ on $(0,\frac{\pi}{2})$ interval

Published on 14 Apr 2026 - 8:53

104

Views

Find $\frac{du}{dv}$ if $u=\sin^{-1}\frac{2x}{1+x^2}$ and $v=\tan^{-1}\frac{2x}{1-x^2}$

Published on 25 Mar 2026 - 3:22

176

Views

Total derivative w.r.t composite variable

Published on 13 Apr 2026 - 23:16

40

Views

Max min values of a particular function

Published on 12 Apr 2026 - 23:08

69

Views

Is derivative function a discontinued function as the limit says as h tends to 0 and nothing can be divided by 0?

Published on 09 Apr 2026 - 1:47

List Question

Directional derivative for a piece-wise function

Find $\frac{dy}{dx}$ if $y=\sin^{-1}[x\sqrt{1-x}-\sqrt{x}\sqrt{1-x^2}]$, $0<x<1$

Product rule for quaternions

Derivation of geometric mean?

form PDE by eliminating the arbitrary constants $f$ and $g$ in:

Taylor's theorem and Lagrange remainders

Showing the Taylor expansion converges to the function

Use the chain rule to find the formula for $g^\prime (f(c))$

prove that $sin$ is differentiable at 0, and find the derivative at 0.

Help to understand limits in multivariable calculus

Extrema of $(\tan{x})^{\sin{2x}}$ on $(0,\frac{\pi}{2})$ interval

Find $\frac{du}{dv}$ if $u=\sin^{-1}\frac{2x}{1+x^2}$ and $v=\tan^{-1}\frac{2x}{1-x^2}$

Total derivative w.r.t composite variable

Max min values of a particular function

Is derivative function a discontinued function as the limit says as h tends to 0 and nothing can be divided by 0?

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