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Popular >

derivative of (768/(sqrt(x))-1)

Solution

\frac{d}{d x} (\frac{768}{x} - 1)

Solution

- \frac{384}{x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (\frac{768}{x} - 1)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{768}{x}) - \frac{d}{d x} (1)

\frac{d}{d x} (\frac{768}{x}) = - \frac{384}{x ^{\frac{3}{2}}}

\frac{d}{d x} (1) = 0

= - \frac{384}{x ^{\frac{3}{2}}} - 0

Simplify

= - \frac{384}{x ^{\frac{3}{2}}}

Graph

Popular Examples

integral from-1 to 0 of 6(e^{1/x})/(x^3)

\int_{- 1}^{0} 6 \frac{e ^{\frac{1}{x}}}{x ^{3}} d x

area 12-x-x^2,x+4 area

12 - x - x^{2}, x + 4

area y1=x^3+4x^2-6x-9,y2=3x^2 area

y 1 = x^{3} + 4 x^{2} - 6 x - 9, y 2 = 3 x^{2}

tangent of f(x)=e^{7x^2},\at x=2 tangent of

f (x) = e^{7 x^{2}}, at x = 2

integral of y-ye^z

\int y - y e^{z} d x

Frequently Asked Questions (FAQ)

What is the derivative of (768/(sqrt(x))-1) ?
The derivative of (768/(sqrt(x))-1) is -(384)/(x^{3/2)}
What is the first derivative of (768/(sqrt(x))-1) ?
The first derivative of (768/(sqrt(x))-1) is -(384)/(x^{3/2)}