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Popular >

derivative of x^3-3/x+e^2

Solution

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

Solution

3 x^{2} + \frac{3}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (e^{2}) = 0

= 3 x^{2} - (- \frac{3}{x ^{2}}) + 0

Simplify

= 3 x^{2} + \frac{3}{x ^{2}}

Graph

Popular Examples

integral of (cos^2(x)*sin(x))

\int (cos^{2} (x) \cdot sin (x)) d x

integral of (12x^3)/(x^4+7)

\int \frac{12 x ^{3}}{x ^{4} + 7} d x

tangent of y=x^3,\at x=-1 tangent of

y = x^{3}, at x = - 1

derivative of f(x)=(2x)/(sin(x)+cos(x))derivative of

f (x) = \frac{2 x}{sin ( x ) + cos ( x )}

integral of ((y^2+1)^2)/(y^2)

\int \frac{( y ^{2} + 1 ) ^{2}}{y ^{2}} d y

Frequently Asked Questions (FAQ)

What is the derivative of x^3-3/x+e^2 ?
The derivative of x^3-3/x+e^2 is 3x^2+3/(x^2)
What is the first derivative of x^3-3/x+e^2 ?
The first derivative of x^3-3/x+e^2 is 3x^2+3/(x^2)