What is the derivative of 12(2x-3)^5 ?

The derivative of 12(2x-3)^5 is 120(2x-3)^4

What is the first derivative of 12(2x-3)^5 ?

The first derivative of 12(2x-3)^5 is 120(2x-3)^4

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derivative of

12 (2 x - 3)^{5}

120 (2 x - 3)^{4}

Solution steps

\frac{d}{d x} (12 (2 x - 3)^{5})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 12 \frac{d}{d x} ((2 x - 3)^{5})

Apply the chain rule:

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

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

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

= 12 \cdot 5 (2 x - 3)^{4} \cdot 2

Simplify

= 120 (2 x - 3)^{4}

\int 1 - cos (t) d t

4 x^{2} y^{^{'}} = y^{^{'}} + 4 x e^{- y}

2 sec (2 t) 2 t \cdot y^{^{'}} = 1

y = 3 x^{3}, y = 75 x

x - 3

What is the derivative of 12(2x-3)^5 ?
The derivative of 12(2x-3)^5 is 120(2x-3)^4
What is the first derivative of 12(2x-3)^5 ?
The first derivative of 12(2x-3)^5 is 120(2x-3)^4