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

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

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

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

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derivative of

f (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}

(- 3.5) (6.2)

x \to 2 lim (4 x^{2} - 2 x - 6)

\int \frac{x}{x ^{2} - 4} + \frac{x}{( x ^{2} - 4 ) ^{3}} d x

\int 6 sin (2 x) - 3 cos (3 x) d x

x \to 1 lim ((x + 2)^{4} (4 x^{2}))

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