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Popular >

derivative of sqrt(x)(x-14)

Solution

derivative of

x (x - 14)

Solution

\frac{3 x - 14}{2 x}

Solution steps

\frac{d}{d x} (x (x - 14))

Apply the Product Rule:

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

f = x, g = x - 14

= \frac{d}{d x} (x) (x - 14) + \frac{d}{d x} (x - 14) x

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

\frac{d}{d x} (x - 14) = 1

= \frac{1}{2 x} (x - 14) + 1 \cdot x

Simplify

\frac{1}{2 x} (x - 14) + 1 \cdot x : \frac{3 x - 14}{2 x}

= \frac{3 x - 14}{2 x}

Popular Examples

limit as x approaches 0 of e^{-x}

x \to 0 lim (e^{- x})

inverse oflaplace (s-1)/(s(s-1)+2)inverse laplace

\frac{s - 1}{s ( s - 1 ) + 2}

integral of e^{-(x/2)^2}

\int e^{- (\frac{x}{2})^{2}} d x

(\partial)/(\partial y)(3sqrt(x^2+y^2))

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

tangent of y=(2x+1)^2 tangent of

y = (2 x + 1)^{2}

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x)(x-14) ?
The derivative of sqrt(x)(x-14) is (3x-14)/(2sqrt(x))
What is the first derivative of sqrt(x)(x-14) ?
The first derivative of sqrt(x)(x-14) is (3x-14)/(2sqrt(x))