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

The derivative of (2x-8^5) is 10(2x-8)^4

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

The first derivative of (2x-8^5) is 10(2x-8)^4

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

10 (2 x - 8)^{4}

Solution steps

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

Apply the chain rule:

5 (2 x - 8)^{4} \frac{d}{d x} (2 x - 8)

= 5 (2 x - 8)^{4} \frac{d}{d x} (2 x - 8)

\frac{d}{d x} (2 x - 8) = 2

= 5 (2 x - 8)^{4} \cdot 2

Simplify

= 10 (2 x - 8)^{4}

f (t) = t^{2} e^{3 t}

\frac{d}{d x} (\frac{2 x + 3}{x + 2})

\frac{d}{d x} (x^{3} + x^{2} + x + 1)

\int \frac{1}{( 1 + cos ( x ) ) ^{2}} d x

\int \frac{1}{t + 2} d t

What is the derivative of (2x-8^5) ?
The derivative of (2x-8^5) is 10(2x-8)^4
What is the first derivative of (2x-8^5) ?
The first derivative of (2x-8^5) is 10(2x-8)^4