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

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

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

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

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

5 x^{4} - 3 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (3) = 0

= 5 x^{4} - 3 x^{2} + 0

Simplify

= 5 x^{4} - 3 x^{2}

f (x) = 4 x - 11 x

x \to \infty lim (x^{2} + 4)

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

\int \frac{ln ^{2} ( y )}{3 y + 8 y ln ^{3} ( y )} d y

\frac{( s + 5 )}{( s + 2 ) ( s + 3 )}

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