What is the derivative of (4x+5)^3 ?

The derivative of (4x+5)^3 is 12(4x+5)^2

What is the first derivative of (4x+5)^3 ?

The first derivative of (4x+5)^3 is 12(4x+5)^2

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derivative of

(4 x + 5)^{3}

12 (4 x + 5)^{2}

Solution steps

\frac{d}{d x} ((4 x + 5)^{3})

Apply the chain rule:

3 (4 x + 5)^{2} \frac{d}{d x} (4 x + 5)

= 3 (4 x + 5)^{2} \frac{d}{d x} (4 x + 5)

\frac{d}{d x} (4 x + 5) = 4

= 3 (4 x + 5)^{2} \cdot 4

Simplify

= 12 (4 x + 5)^{2}

x \to \frac{π}{2} lim (- cot (2 x))

\int (e^{- x} - e^{3}) (e^{x} - e^{- 5}) d x

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

n = 1 \sum \infty \frac{1}{n ^{3} + 2}

d er i v a t i v e f (x) = \frac{( 3 x + 2 )}{( 3 x - 2 )}

What is the derivative of (4x+5)^3 ?
The derivative of (4x+5)^3 is 12(4x+5)^2
What is the first derivative of (4x+5)^3 ?
The first derivative of (4x+5)^3 is 12(4x+5)^2