What is the derivative of f(x)=3x^2+5x-1/(x^2)+e^2 ?

The derivative of f(x)=3x^2+5x-1/(x^2)+e^2 is 6x+2/(x^3)+5

What is the first derivative of f(x)=3x^2+5x-1/(x^2)+e^2 ?

The first derivative of f(x)=3x^2+5x-1/(x^2)+e^2 is 6x+2/(x^3)+5

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derivative of

f (x) = 3 x^{2} + 5 x - \frac{1}{x ^{2}} + e^{2}

6 x + \frac{2}{x ^{3}} + 5

Solution steps

\frac{d}{d x} (3 x^{2} + 5 x - \frac{1}{x ^{2}} + e^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (5 x) - \frac{d}{d x} (\frac{1}{x ^{2}}) + \frac{d}{d x} (e^{2})

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (5 x) = 5

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

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

= 6 x + 5 - (- \frac{2}{x ^{3}}) + 0

Simplify

= 6 x + \frac{2}{x ^{3}} + 5

x \to 0 lim (\frac{3 x + 1}{7 x})

x^{3}, at x = 2

\int (x - 1)^{2} \cdot x^{3} \cdot (2 - x) d x

\frac{d y}{d x} = \frac{5 x}{9 y}

\frac{d}{d x} (7 e^{e})

What is the derivative of f(x)=3x^2+5x-1/(x^2)+e^2 ?
The derivative of f(x)=3x^2+5x-1/(x^2)+e^2 is 6x+2/(x^3)+5
What is the first derivative of f(x)=3x^2+5x-1/(x^2)+e^2 ?
The first derivative of f(x)=3x^2+5x-1/(x^2)+e^2 is 6x+2/(x^3)+5