What is the derivative of a*cos(x+b*sin(x)) ?

The derivative of a*cos(x+b*sin(x)) is -asin(x)+bcos(x)

What is the first derivative of a*cos(x+b*sin(x)) ?

The first derivative of a*cos(x+b*sin(x)) is -asin(x)+bcos(x)

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

- a sin (x) + b cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - a sin (x) + b cos (x)

\int (2 (z + 1) e^{2 x - 2} + 2 y) d x

\frac{d}{d x} (A x e^{4 x})

\frac{d}{d x} (\frac{1}{6} (x - 1) (x + 5)^{5} + 10)

y = 9 x^{2} + 9 x - 3

f (x) = sin (1 + cos (x))

What is the derivative of a*cos(x+b*sin(x)) ?
The derivative of a*cos(x+b*sin(x)) is -asin(x)+bcos(x)
What is the first derivative of a*cos(x+b*sin(x)) ?
The first derivative of a*cos(x+b*sin(x)) is -asin(x)+bcos(x)