What is the derivative of 5sin(x+4cos(x)) ?

The derivative of 5sin(x+4cos(x)) is 5cos(x)-4sin(x)

What is the first derivative of 5sin(x+4cos(x)) ?

The first derivative of 5sin(x+4cos(x)) is 5cos(x)-4sin(x)

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\frac{d}{d x} (5 sin (x) + 4 cos (x))

5 cos (x) - 4 sin (x)

Solution steps

\frac{d}{d x} (5 sin (x) + 4 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 sin (x)) + \frac{d}{d x} (4 cos (x))

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

\frac{d}{d x} (4 cos (x)) = - 4 sin (x)

= 5 cos (x) - 4 sin (x)

\int sec^{4} (4 x) tan (4 x) d x

\int 17 z^{3} e^{z} d z

\int x e^{\frac{x}{4}} d x

\int \frac{3 x ^{2}}{4 x - x ^{2}} d x

f (x) = x^{2} + 2

What is the derivative of 5sin(x+4cos(x)) ?
The derivative of 5sin(x+4cos(x)) is 5cos(x)-4sin(x)
What is the first derivative of 5sin(x+4cos(x)) ?
The first derivative of 5sin(x+4cos(x)) is 5cos(x)-4sin(x)