What is the derivative of x^5-4x^3 ?

The derivative of x^5-4x^3 is 5x^4-12x^2

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

The first derivative of x^5-4x^3 is 5x^4-12x^2

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\frac{d}{d x} (x^{5} - 4 x^{3})

5 x^{4} - 12 x^{2}

Solution steps

\frac{d}{d x} (x^{5} - 4 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{5}) - \frac{d}{d x} (4 x^{3})

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

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

= 5 x^{4} - 12 x^{2}

\frac{d ^{2}}{d x ^{2}} (19 e^{x^{2}})

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

\frac{d y}{d x} + 6 x^{2} y = - 3 x^{2}

(2 π r^{2}) + (\frac{80}{r})

\int_{0}^{6} \frac{3 t}{( t - 7 ) ^{2}} d t

What is the derivative of x^5-4x^3 ?
The derivative of x^5-4x^3 is 5x^4-12x^2
What is the first derivative of x^5-4x^3 ?
The first derivative of x^5-4x^3 is 5x^4-12x^2