Question

If $\sqrt{1-x^2}+\sqrt{1-y^2}=a(x-y)$, prove that $\frac{dy}{dx}=\sqrt{\frac{1-y^2}{1-x^2}}$

score 1k · Answer 1 · 2026-04-16 13:06:34

1k

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If $\sqrt{1-x^2}+\sqrt{1-y^2}=a(x-y)$, prove that $\frac{dy}{dx}=\sqrt{\frac{1-y^2}{1-x^2}}$

Published on 16 Apr 2026 - 13:06

score 3.7k · Answer 2 · 2026-04-11 00:17:11

3.7k

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Normal to a curve at the point x=1

Published on 11 Apr 2026 - 0:17

score 1.5k · Answer 3 · 2026-04-09 04:29:17

1.5k

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Relation between harmonic series $H(m)$ and polygamma function?

Published on 09 Apr 2026 - 4:29

score 201 · Answer 4 · 2026-04-16 04:38:28

201

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The product of the slopes of the common tangents to the parabolas $y=x^2+1$ and $y=-x^2-1$

Published on 16 Apr 2026 - 4:38

score 340 · Answer 5 · 2026-04-09 05:27:25

340

Views

Differentiation using product rule

Published on 09 Apr 2026 - 5:27

score 54 · Answer 6 · 2026-04-10 04:37:56

54

Views

finding a function satisfiying a certain equation

Published on 10 Apr 2026 - 4:37

score 121 · Answer 7 · 2026-04-14 17:01:52

121

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Calculate: $\lim_{x \to 0} \frac{f(3x)+f(5x)-2f(2x)}{x}$

Published on 14 Apr 2026 - 17:01

score 49 · Answer 8 · 2026-04-10 19:04:21

49

Views

How would you interpret this equation?

Published on 10 Apr 2026 - 19:04

score 144 · Answer 9 · 2026-04-11 21:01:21

144

Views

Surface area of revolution about x-axis, Trig Function

Published on 11 Apr 2026 - 21:01

score 30 · Answer 10 · 2026-04-11 02:08:17

30

Views

Homeomorphism over $\mathbb{R}^{2}$

Published on 11 Apr 2026 - 2:08

score 315 · Answer 11 · 2026-04-14 11:33:34

315

Views

Showing a function of three variables is differentiable at a point

Published on 14 Apr 2026 - 11:33

score 379 · Answer 12 · 2026-03-25 04:38:24

379

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Can I apply regular derivative instead of implicit describing rectangle diagonal?

Published on 25 Mar 2026 - 4:38

score 3.2k · Answer 13 · 2026-04-14 20:08:11

3.2k

Views

Find the derivative of $\cos(x^2+1)$ by first principle of derivative.

Published on 14 Apr 2026 - 20:08

score 112 · Answer 14 · 2026-03-25 06:06:31

112

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What is the derivative of the following matrix expression with respect to W?

Published on 25 Mar 2026 - 6:06

score 1.4k · Answer 15 · 2026-04-13 18:57:00

1.4k

Views

Stationary Points of a graph with fractions

Published on 13 Apr 2026 - 18:57

List Question

If $\sqrt{1-x^2}+\sqrt{1-y^2}=a(x-y)$, prove that $\frac{dy}{dx}=\sqrt{\frac{1-y^2}{1-x^2}}$

Normal to a curve at the point x=1

Relation between harmonic series $H(m)$ and polygamma function?

The product of the slopes of the common tangents to the parabolas $y=x^2+1$ and $y=-x^2-1$

Differentiation using product rule

finding a function satisfiying a certain equation

Calculate: $\lim_{x \to 0} \frac{f(3x)+f(5x)-2f(2x)}{x}$

How would you interpret this equation?

Surface area of revolution about x-axis, Trig Function

Homeomorphism over $\mathbb{R}^{2}$

Showing a function of three variables is differentiable at a point

Can I apply regular derivative instead of implicit describing rectangle diagonal?

Find the derivative of $\cos(x^2+1)$ by first principle of derivative.

What is the derivative of the following matrix expression with respect to W?

Stationary Points of a graph with fractions

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