Differentiation

Calculus Level 2

If y = sin ⁡ 3 t y= \sin^3 t and t t is a non-constant function of x x , find d y d x \dfrac {dy}{dx} .

3 sin ⁡ 2 t cos ⁡ t ⋅ d t d x 3 \sin^2t \cos t \cdot \frac {dt}{dx} None of the others 3 sin ⁡ 2 t 3 \sin^2t 3 sin ⁡ 2 t ⋅ d t d x 3 \sin^2t \cdot \frac {dt}{dx}

Saraswati Sharma by Saraswati Sharma , 23, India

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1 solution

Saraswati Sharma
Oct 20, 2016

The problem above is differentiation of a function with respect to a new variable.

  • dy/dx = dy/dt * dt/dx
  • dy/dx =(3 s i n 2 t sin^2 t .cost) . dt/dx
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