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Popular >

derivative of asin(2x+bcos(2x))

Solution

\frac{d}{d x} (a sin (2 x) + b cos (2 x))

Solution

a cos (2 x) \cdot 2 - 2 b sin (2 x)

Solution steps

\frac{d}{d x} (a sin (2 x) + b cos (2 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (a sin (2 x)) + \frac{d}{d x} (b cos (2 x))

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

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

= a cos (2 x) \cdot 2 - 2 b sin (2 x)

Popular Examples

derivative of 3x^2+(8x/3-2)

\frac{d}{d x} (3 x^{2} + \frac{8 x}{3} - 2)

limit as x approaches 0 of-5(x-3)ln(t(x)-3)

x \to 0 lim (- 5 (x - 3) ln (t (x) - 3))

integral of ln(2x)

\int ln (2 x) d x

(\partial)/(\partial x)(2y*e^{5x^2-9y})

\frac{\partial}{\partial x} (2 y \cdot e^{5 x^{2} - 9 y})

integral of 11x^3e^x

\int 11 x^{3} e^{x} d x

Frequently Asked Questions (FAQ)

What is the derivative of asin(2x+bcos(2x)) ?
The derivative of asin(2x+bcos(2x)) is acos(2x)*2-2bsin(2x)
What is the first derivative of asin(2x+bcos(2x)) ?
The first derivative of asin(2x+bcos(2x)) is acos(2x)*2-2bsin(2x)