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Popular >

derivative of sqrt(x)(x-4)

Solution

derivative of

x (x - 4)

Solution

\frac{3 x - 4}{2 x}

Solution steps

\frac{d}{d x} (x (x - 4))

Apply the Product Rule:

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

f = x, g = x - 4

= \frac{d}{d x} (x) (x - 4) + \frac{d}{d x} (x - 4) x

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

\frac{d}{d x} (x - 4) = 1

= \frac{1}{2 x} (x - 4) + 1 \cdot x

Simplify

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

= \frac{3 x - 4}{2 x}

Popular Examples

sum from n=1 to infinity}((-1)^n(2)^{n-1})/((2)^{n+1)(n)^{1/3 of}

n = 1 \sum \infty \frac{( - 1 ) ^{n} ( 2 ) ^{n - 1}}{( 2 ) ^{n + 1} ( n ) ^{\frac{1}{3}}}

inverse oflaplace (2x-6)/(x^2+9)inverse laplace

\frac{2 x - 6}{x ^{2} + 9}

y^'+(4y)/x+4/x =0,y(1)=-2

y^{^{'}} + \frac{4 y}{x} + \frac{4}{x} = 0, y (1) = - 2

derivative of 3*e^{(x^3/9})

\frac{d}{d x} (3 \cdot e^{\frac{x ^{3}}{9}})

limit as x approaches 0 of | x/x |

x \to 0 lim (\frac{x}{x})

Frequently Asked Questions (FAQ)

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