What is the derivative of h(x)=(5-6x)^5 ?

The derivative of h(x)=(5-6x)^5 is -30(5-6x)^4

What is the first derivative of h(x)=(5-6x)^5 ?

The first derivative of h(x)=(5-6x)^5 is -30(5-6x)^4

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derivative of

h (x) = (5 - 6 x)^{5}

- 30 (5 - 6 x)^{4}

Solution steps

\frac{d}{d x} ((5 - 6 x)^{5})

Apply the chain rule:

5 (5 - 6 x)^{4} \frac{d}{d x} (5 - 6 x)

= 5 (5 - 6 x)^{4} \frac{d}{d x} (5 - 6 x)

\frac{d}{d x} (5 - 6 x) = - 6

= 5 (5 - 6 x)^{4} (- 6)

Simplify

= - 30 (5 - 6 x)^{4}

5 x \frac{d y}{d x} = 2 x e^{x} - 5 y + 6 x^{2}

\frac{\partial}{\partial x} (5 x^{2} y - x + 3 y^{3})

\int csc (5 t) cot (5 t) d t

\int \frac{5 x}{x ^{2} + 8} d x

x \to 4 lim (x + 5 - 3)

What is the derivative of h(x)=(5-6x)^5 ?
The derivative of h(x)=(5-6x)^5 is -30(5-6x)^4
What is the first derivative of h(x)=(5-6x)^5 ?
The first derivative of h(x)=(5-6x)^5 is -30(5-6x)^4