What is the derivative of (5x^2+8)^8 ?

The derivative of (5x^2+8)^8 is 80x(5x^2+8)^7

What is the first derivative of (5x^2+8)^8 ?

The first derivative of (5x^2+8)^8 is 80x(5x^2+8)^7

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derivative of

(5 x^{2} + 8)^{8}

80 x (5 x^{2} + 8)^{7}

Solution steps

\frac{d}{d x} ((5 x^{2} + 8)^{8})

Apply the chain rule:

8 (5 x^{2} + 8)^{7} \frac{d}{d x} (5 x^{2} + 8)

= 8 (5 x^{2} + 8)^{7} \frac{d}{d x} (5 x^{2} + 8)

\frac{d}{d x} (5 x^{2} + 8) = 10 x

= 8 (5 x^{2} + 8)^{7} \cdot 10 x

Simplify

= 80 x (5 x^{2} + 8)^{7}

x - 1, 2, 5

x \to 6 lim (\frac{24}{x} + x^{2})

x^{2} \cdot \frac{d y}{d x} + x (x + 2) y = e^{x}

\int x^{2} - e^{- x} d x

\frac{d}{d x} (- π^{2} cos (π x))

What is the derivative of (5x^2+8)^8 ?
The derivative of (5x^2+8)^8 is 80x(5x^2+8)^7
What is the first derivative of (5x^2+8)^8 ?
The first derivative of (5x^2+8)^8 is 80x(5x^2+8)^7