What is the derivative of (2x-7^3) ?

The derivative of (2x-7^3) is 6(2x-7)^2

What is the first derivative of (2x-7^3) ?

The first derivative of (2x-7^3) is 6(2x-7)^2

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\frac{d}{d x} ((2 x - 7)^{3})

6 (2 x - 7)^{2}

Solution steps

\frac{d}{d x} ((2 x - 7)^{3})

Apply the chain rule:

3 (2 x - 7)^{2} \frac{d}{d x} (2 x - 7)

= 3 (2 x - 7)^{2} \frac{d}{d x} (2 x - 7)

\frac{d}{d x} (2 x - 7) = 2

= 3 (2 x - 7)^{2} \cdot 2

Simplify

= 6 (2 x - 7)^{2}

f (x) = \frac{x}{x + 1}, (- 2, 2)

\int \frac{1}{x ^{2} + x} d x

f (x) = \frac{25 x ^{3}}{3} + 10 x^{2} + 4 x - 7

\int_{0}^{\frac{π}{2}} cos (θ) d θ

\frac{\partial}{\partial x} (x y^{- 1})

What is the derivative of (2x-7^3) ?
The derivative of (2x-7^3) is 6(2x-7)^2
What is the first derivative of (2x-7^3) ?
The first derivative of (2x-7^3) is 6(2x-7)^2