What is the derivative of (2x-3^4) ?

The derivative of (2x-3^4) is 8(2x-3)^3

What is the first derivative of (2x-3^4) ?

The first derivative of (2x-3^4) is 8(2x-3)^3

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

8 (2 x - 3)^{3}

Solution steps

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

Apply the chain rule:

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

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

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

= 4 (2 x - 3)^{3} \cdot 2

Simplify

= 8 (2 x - 3)^{3}

(x^{3} - 1)^{100}

\int y^{- \frac{2}{3}} d y

\int_{0}^{\frac{π}{2}} 16 cos^{5} (x) d x

ln (x e^{x} + 4)

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = 2 e^{x}

What is the derivative of (2x-3^4) ?
The derivative of (2x-3^4) is 8(2x-3)^3
What is the first derivative of (2x-3^4) ?
The first derivative of (2x-3^4) is 8(2x-3)^3