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

The derivative of (x-2(2x-3)) is 4x-7

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

The first derivative of (x-2(2x-3)) is 4x-7

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

4 x - 7

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x - 2, g = 2 x - 3

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

\frac{d}{d x} (x - 2) = 1

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

= 1 \cdot (2 x - 3) + 2 (x - 2)

Simplify

1 \cdot (2 x - 3) + 2 (x - 2) : 4 x - 7

= 4 x - 7

\frac{d}{d x} (arctan (\frac{40}{x}))

\int 9 x cos (2 x) d x

y = x^{2} - 1, (- 1, 1)

y = x - 6, y^{2} = x

tan^{2} (5 x)

What is the derivative of (x-2(2x-3)) ?
The derivative of (x-2(2x-3)) is 4x-7
What is the first derivative of (x-2(2x-3)) ?
The first derivative of (x-2(2x-3)) is 4x-7