Question

Find the dy/dx, ify=sin5x

cos5x
5sin4x
5cos5x
5sin5x

Answer 1

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Answer on Question #47035 – Math – Differential Calculus | Equations

Find the dy/dx, ify=sin5x

cos5x

5sin4x

5cos5x

5sin5x

Solution:

We have if

$$y = \sin(\alpha * x)$$

then

$$\frac{dy}{dx} = \alpha * \cos(\alpha * x).$$

Hence

$$\frac{dy}{dx} = 5 * \cos(5 * x)$$

for

$$y = \sin(5 * x).$$

Answer: $\frac{dy}{dx} = 5\cos5x$