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Popular >

derivative of (2x+3(x-2))

Solution

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

Solution

4 x - 1

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

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

= 4 x - 1

Popular Examples

derivative of arccos(x/2)derivative of

arccos (\frac{x}{2})

y^'=(2x+sec^2(x))/(2y),y(0)=-3

y^{^{'}} = \frac{2 x + sec ^{2} ( x )}{2 y}, y (0) = - 3

(\partial)/(\partial y)(sin(xy^2z^3))

\frac{\partial}{\partial y} (sin (x y^{2} z^{3}))

(\partial)/(\partial x)(6y^2+284x-12)

\frac{\partial}{\partial x} (6 y^{2} + 284 x - 12)

derivative of (-2x/((1+x^2)^2))

\frac{d}{d x} (\frac{- 2 x}{( 1 + x ^{2} ) ^{2}})

Frequently Asked Questions (FAQ)

What is the derivative of (2x+3(x-2)) ?
The derivative of (2x+3(x-2)) is 4x-1
What is the first derivative of (2x+3(x-2)) ?
The first derivative of (2x+3(x-2)) is 4x-1