What is the derivative of 1/5 x^5-2x^3+3x ?

The derivative of 1/5 x^5-2x^3+3x is x^4-6x^2+3

What is the first derivative of 1/5 x^5-2x^3+3x ?

The first derivative of 1/5 x^5-2x^3+3x is x^4-6x^2+3

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

x^{4} - 6 x^{2} + 3

Solution steps

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

Simplify

\frac{1}{5} x^{5} - 2 x^{3} + 3 x : \frac{x ^{5}}{5} - 2 x^{3} + 3 x

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{x ^{5}}{5}) = x^{4}

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

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

= x^{4} - 6 x^{2} + 3

x \to - 1 lim (6 x + 3)

x \to 1 lim (\frac{e ^{x}}{1 - x})

s \to 0 lim (\frac{1}{s})

\int_{0}^{1} 2 π (2 - y) (7 y^{2}) d y

What is the derivative of 1/5 x^5-2x^3+3x ?
The derivative of 1/5 x^5-2x^3+3x is x^4-6x^2+3
What is the first derivative of 1/5 x^5-2x^3+3x ?
The first derivative of 1/5 x^5-2x^3+3x is x^4-6x^2+3