What is the derivative of sin(x*sin(x)) ?

The derivative of sin(x*sin(x)) is sin(2x)

What is the first derivative of sin(x*sin(x)) ?

The first derivative of sin(x*sin(x)) is sin(2x)

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Popular >

\frac{d}{d x} (sin (x) \cdot sin (x))

sin (2 x)

Solution steps

\frac{d}{d x} (sin (x) sin (x))

Simplify

sin (x) sin (x) : sin^{2} (x)

= \frac{d}{d x} (sin^{2} (x))

Apply the chain rule:

2 sin (x) \frac{d}{d x} (sin (x))

= 2 sin (x) \frac{d}{d x} (sin (x))

\frac{d}{d x} (sin (x)) = cos (x)

= 2 sin (x) cos (x)

Use the Double Angle identity:

2 sin (x) cos (x) = sin (2 x)

= sin (2 x)

\int_{- 9}^{9} 81 - x^{2} d x

t y^{^{'}} - 2 y = t^{5} sin (2 t) - t^{3} + 4 t^{4}

f (x) = \frac{12 x}{x ^{2} - 4}, at x = 4

h \to 0 lim (\frac{- 8 + h}{h})

(e^{- \frac{1}{x ^{2}}})^{^{'}}

What is the derivative of sin(x*sin(x)) ?
The derivative of sin(x*sin(x)) is sin(2x)
What is the first derivative of sin(x*sin(x)) ?
The first derivative of sin(x*sin(x)) is sin(2x)