What is the derivative of 10sin(x)cos(x) ?

The derivative of 10sin(x)cos(x) is 10cos(2x)

What is the first derivative of 10sin(x)cos(x) ?

The first derivative of 10sin(x)cos(x) is 10cos(2x)

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derivative of

10 sin (x) cos (x)

10 cos (2 x)

Solution steps

\frac{d}{d x} (10 sin (x) cos (x))

Simplify

10 sin (x) cos (x) : 5 sin (2 x)

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

= 5 cos (2 x) \cdot 2

Simplify

= 10 cos (2 x)

\frac{d y}{d x}, y = 3 x^{2}

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

ln (x e^{- 8 x})

y = x^{4} - 2 x^{3}, y = 0

\int e^{- x} e^{x} d x

What is the derivative of 10sin(x)cos(x) ?
The derivative of 10sin(x)cos(x) is 10cos(2x)
What is the first derivative of 10sin(x)cos(x) ?
The first derivative of 10sin(x)cos(x) is 10cos(2x)