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Popular >

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

Solution

derivative of

x (3 x - 2)

Solution

\frac{9 x - 2}{2 x}

Solution steps

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

Apply the Product Rule:

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

f = x, g = 3 x - 2

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

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

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

= \frac{1}{2 x} (3 x - 2) + 3 x

Simplify

\frac{1}{2 x} (3 x - 2) + 3 x : \frac{9 x - 2}{2 x}

= \frac{9 x - 2}{2 x}

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(d^2y)/(dx^2)+64y=0

\frac{d ^{2} y}{d x ^{2}} + 64 y = 0

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θ \to 0 lim (sin (θ) ln (θ))

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x)(3x-2) ?
The derivative of sqrt(x)(3x-2) is (9x-2)/(2sqrt(x))
What is the first derivative of sqrt(x)(3x-2) ?
The first derivative of sqrt(x)(3x-2) is (9x-2)/(2sqrt(x))