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

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

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

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

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

4 cos (x) - 4 sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

1 - 49 x^{2} arccos (7 x)

x \to 2 lim (7 (x) + 10)

f (x) = 2 x^{4}, x = - 2

\frac{d y}{d x} - 2 y = x y^{3}

n = 1 \sum \infty \frac{3 n}{10 n + 3}

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