What is the derivative of f(x)=acos(2x)+bsin(2x) ?

The derivative of f(x)=acos(2x)+bsin(2x) is -2asin(2x)+bcos(2x)*2

What is the first derivative of f(x)=acos(2x)+bsin(2x) ?

The first derivative of f(x)=acos(2x)+bsin(2x) is -2asin(2x)+bcos(2x)*2

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derivative of

f (x) = a cos (2 x) + b sin (2 x)

- 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

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