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

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

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

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

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

5 sin (5) x^{4}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= sin (5) \cdot 5 x^{5 - 1}

Simplify

= 5 sin (5) x^{4}

\frac{d}{d x} (x^{4 s i n (x)})

y d x + x (ln (x) - ln (y) - 1) d y = 0, y (1) = e

d er i v a t i v e 4 t^{2} - t

x \to 0 lim (\frac{1 - x}{1 - x})

n = 0 \sum \infty \frac{1}{9 ^{n}}

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