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Popular >

derivative of sin(7x)sin(2x)

Solution

derivative of

sin (7 x) sin (2 x)

Solution

cos (7 x) \cdot 7 sin (2 x) + cos (2 x) \cdot 2 sin (7 x)

Solution steps

\frac{d}{d x} (sin (7 x) sin (2 x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = sin (7 x), g = sin (2 x)

= \frac{d}{d x} (sin (7 x)) sin (2 x) + \frac{d}{d x} (sin (2 x)) sin (7 x)

\frac{d}{d x} (sin (7 x)) = cos (7 x) \cdot 7

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

= cos (7 x) \cdot 7 sin (2 x) + cos (2 x) \cdot 2 sin (7 x)

Graph

Popular Examples

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\int \frac{1}{4 x ^{2} + 4} d x

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x y^{^{'}} + y = - 2 x y^{2}

Frequently Asked Questions (FAQ)

What is the derivative of sin(7x)sin(2x) ?
The derivative of sin(7x)sin(2x) is cos(7x)*7sin(2x)+cos(2x)*2sin(7x)
What is the first derivative of sin(7x)sin(2x) ?
The first derivative of sin(7x)sin(2x) is cos(7x)*7sin(2x)+cos(2x)*2sin(7x)