What is the derivative of cos(3*x)*cos(5*x) ?

The derivative of cos(3*x)*cos(5*x) is -3sin(3x)cos(5x)-5sin(5x)cos(3x)

What is the first derivative of cos(3*x)*cos(5*x) ?

The first derivative of cos(3*x)*cos(5*x) is -3sin(3x)cos(5x)-5sin(5x)cos(3x)

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derivative of

cos (3 \cdot x) \cdot cos (5 \cdot x)

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

Solution steps

\frac{d}{d x} (cos (3 x) cos (5 x))

Apply the Product Rule:

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

f = cos (3 x), g = cos (5 x)

= \frac{d}{d x} (cos (3 x)) cos (5 x) + \frac{d}{d x} (cos (5 x)) cos (3 x)

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

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

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

Simplify

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

\frac{\partial}{\partial y} (e^{(\frac{x}{y})})

\frac{d}{d x} (7^{9 x})

\int x^{3} \cdot x^{2} + 1 d x

x^{3} - 8 x^{2} + 5 x + 8

\frac{1}{2 s ^{2}}

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