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}

x \to 2 lim (x^{2} - 4)

\int 2 x + 2 d x

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

x \to \infty lim (x + 5 x)

y^{^{'''}} + 4 \cdot y^{^{'}} = 3 \cdot x - 1

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