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

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

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

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

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derivative of

sin^{5} (x) + 4

5 sin^{4} (x) cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (4) = 0

= 5 sin^{4} (x) cos (x) + 0

Simplify

= 5 sin^{4} (x) cos (x)

d er i v a t i v e y = x^{4} - 3 x^{- 2} + 1

d er i v a t i v e 1 7^{x - 1}

\frac{d}{d b} (1 b)

s im pl i f y (x^{3})^{\frac{1}{2}}

d er i v a t i v e \frac{sin ( x )}{( sin ( x ) + x ^{2} )}

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