What is the derivative of sin^2(5x-3) ?

The derivative of sin^2(5x-3) is 10sin(5x-3)cos(5x-3)

What is the first derivative of sin^2(5x-3) ?

The first derivative of sin^2(5x-3) is 10sin(5x-3)cos(5x-3)

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\frac{d}{d x} (sin^{2} (5 x - 3))

10 sin (5 x - 3) cos (5 x - 3)

Solution steps

\frac{d}{d x} (sin^{2} (5 x - 3))

Apply the chain rule:

2 sin (5 x - 3) \frac{d}{d x} (sin (5 x - 3))

= 2 sin (5 x - 3) \frac{d}{d x} (sin (5 x - 3))

\frac{d}{d x} (sin (5 x - 3)) = cos (5 x - 3) \cdot 5

= 2 sin (5 x - 3) cos (5 x - 3) \cdot 5

Simplify

= 10 sin (5 x - 3) cos (5 x - 3)

\frac{d y}{d x} + \frac{5}{x} \cdot y = 0

- 8 x^{- 1} + 4 x^{- 2} - 7

n = 0 \sum \infty 1 2^{n} x^{n}

\frac{\partial}{\partial y} ((x - 3)^{2} + (y - 4)^{2})

\int_{- 1}^{1} x^{100} d x

What is the derivative of sin^2(5x-3) ?
The derivative of sin^2(5x-3) is 10sin(5x-3)cos(5x-3)
What is the first derivative of sin^2(5x-3) ?
The first derivative of sin^2(5x-3) is 10sin(5x-3)cos(5x-3)