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

The derivative of x^5-5x^3 is 5x^4-15x^2

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

The first derivative of x^5-5x^3 is 5x^4-15x^2

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

5 x^{4} - 15 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

= 5 x^{4} - 15 x^{2}

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

7 arctan (x + 1 + x^{2})

\frac{x}{7}

n = 0 \sum \infty (x^{3})^{n}

\frac{d}{d x} (a sin (2 a x))

What is the derivative of x^5-5x^3 ?
The derivative of x^5-5x^3 is 5x^4-15x^2
What is the first derivative of x^5-5x^3 ?
The first derivative of x^5-5x^3 is 5x^4-15x^2