What is the derivative of (2x-5^3) ?

The derivative of (2x-5^3) is 6(2x-5)^2

What is the first derivative of (2x-5^3) ?

The first derivative of (2x-5^3) is 6(2x-5)^2

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\frac{d}{d x} ((2 x - 5)^{3})

6 (2 x - 5)^{2}

Solution steps

\frac{d}{d x} ((2 x - 5)^{3})

Apply the chain rule:

3 (2 x - 5)^{2} \frac{d}{d x} (2 x - 5)

= 3 (2 x - 5)^{2} \frac{d}{d x} (2 x - 5)

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

= 3 (2 x - 5)^{2} \cdot 2

Simplify

= 6 (2 x - 5)^{2}

\frac{d}{d x} (6 x^{2} + 7 x)

\int \frac{2}{( 8 x - 2 ) ( 4 x - 6 ) ( 11 x - 10 )} d x

x \to - 14.5 lim (ln (x^{2} - 9))

\int \frac{2 x}{x ^{2} + 3} d x

x \to 0 lim (x^{x^{4}})

What is the derivative of (2x-5^3) ?
The derivative of (2x-5^3) is 6(2x-5)^2
What is the first derivative of (2x-5^3) ?
The first derivative of (2x-5^3) is 6(2x-5)^2