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Popular >

derivative of acos(4x+bsin(4x))

Solution

\frac{d}{d x} (a cos (4 x) + b sin (4 x))

Solution

- 4 a sin (4 x) + b cos (4 x) \cdot 4

Solution steps

\frac{d}{d x} (a cos (4 x) + b sin (4 x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (a cos (4 x)) + \frac{d}{d x} (b sin (4 x))

\frac{d}{d x} (a cos (4 x)) = - 4 a sin (4 x)

\frac{d}{d x} (b sin (4 x)) = b cos (4 x) \cdot 4

= - 4 a sin (4 x) + b cos (4 x) \cdot 4

Popular Examples

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\int 4 cos^{2} (x) sin (x) d x

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\int_{0}^{4} (\frac{1}{4 - x}) d x

(\partial)/(\partial y)(e^{xsin(y)})

\frac{\partial}{\partial y} (e^{x s i n (y)})

derivative of arcsin(-1/2)derivative of

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integral of (x^2)^{22}x^2)^2

\int (x^{2})^{22} d (x^{2})^{2}

Frequently Asked Questions (FAQ)

What is the derivative of acos(4x+bsin(4x)) ?
The derivative of acos(4x+bsin(4x)) is -4asin(4x)+bcos(4x)*4
What is the first derivative of acos(4x+bsin(4x)) ?
The first derivative of acos(4x+bsin(4x)) is -4asin(4x)+bcos(4x)*4