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

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

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

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

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

5 x^{2} - 2 x

Solution steps

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

Simplify

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

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

Apply the Sum/Difference Rule:

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

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

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

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

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

= 5 x^{2} - 2 x + 0

Simplify

= 5 x^{2} - 2 x

x \to - 1 lim (4 x^{3} - 2 x^{2} + 2)

f (x) = x^{2} - x + 4

\frac{d}{d t} (cot^{4} (t) - csc^{4} (t))

x \to 4 lim (8 - 2 x)

x \to \infty lim (8^{x})

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