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Popular >

derivative of acos(2x+bsin(2x))

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Graph

Popular Examples

derivative of asin(x)

\frac{d}{d x} (a sin (x))

y^{''}+4y^'+4y=0,y(0)=1,y^'(0)=-4

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (0) = 1, y^{^{'}} (0) = - 4

integral of tan(2xse)c^22x

\int tan (2 x se) c^{2} 2 x d x

tangent of y=3x-2x^2,(-3,-27)tangent of

y = 3 x - 2 x^{2}, (- 3, - 27)

limit as x approaches 0+of x+1

x \to 0 + lim (x + 1)

Frequently Asked Questions (FAQ)

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