What is the derivative of 5sin(x+2cos(x)) ?

The derivative of 5sin(x+2cos(x)) is 5cos(x)-2sin(x)

What is the first derivative of 5sin(x+2cos(x)) ?

The first derivative of 5sin(x+2cos(x)) is 5cos(x)-2sin(x)

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\frac{d}{d x} (5 sin (x) + 2 cos (x))

5 cos (x) - 2 sin (x)

Solution steps

\frac{d}{d x} (5 sin (x) + 2 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 sin (x)) + \frac{d}{d x} (2 cos (x))

\frac{d}{d x} (5 sin (x)) = 5 cos (x)

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

= 5 cos (x) - 2 sin (x)

f (x) = e^{x + 1} + 7

\int - \frac{3}{2} e^{- x} sin (2 x) d x

\int - \frac{2 x ^{2}}{5} + \frac{3 x}{4} - \frac{1}{6} d x

\frac{d}{d x} (e^{- \frac{x ^{2}}{2}})

\int \frac{1}{3 x ^{3}} d x

What is the derivative of 5sin(x+2cos(x)) ?
The derivative of 5sin(x+2cos(x)) is 5cos(x)-2sin(x)
What is the first derivative of 5sin(x+2cos(x)) ?
The first derivative of 5sin(x+2cos(x)) is 5cos(x)-2sin(x)