- #1

- 142

- 5

Can someone please tell me what is meant by ##\frac{d}{dx} \frac{dy}{dx})##?

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- Thread starter askor
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- #1

- 142

- 5

Can someone please tell me what is meant by ##\frac{d}{dx} \frac{dy}{dx})##?

Last edited:

- #2

Doc Al

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That's the 2nd derivative of y with respect to x.

- #3

- 142

- 5

I know that ##\frac{dy}{dx} = \frac{2t}{1} = 2t##.

- #4

Doc Al

Mentor

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Take the next derivative of that.

- #5

- 142

- 5

What about, if, ##y = t^2 +2t + 1## and ##x = t##, what is its 2nd derivative?

- #6

Doc Al

Mentor

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Same idea. Rewrite it in terms of x and take the derivatives.

- #7

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- #8

- 142

- 5

Can you show in terms of t (parametric)? I know that ##\frac{dy}{dx} = \frac{dy}{dt}/\frac{dx}{dt}##.Same idea. Rewrite it in terms of x and take the derivatives.

- #9

Doc Al

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Just use t as the variable and take derivatives with respect to t.

- #10

- 142

- 5

Can you show in form of t (parametric)? I know that ##\frac{dy}{dx} = \frac{dy}{dt}/\frac{dx}{dt}##.

- #11

Doc Al

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Have a look at this: Parametric derivative

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