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

The derivative of x^5-5x^4 is 5x^4-20x^3

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

The first derivative of x^5-5x^4 is 5x^4-20x^3

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

5 x^{4} - 20 x^{3}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

= 5 x^{4} - 20 x^{3}

\frac{d}{d x} (\frac{x}{1 - 4 x ^{2}})

\frac{\partial}{\partial y} (y^{2} ln (x))

x \to 1 + lim (\frac{x - 2}{x - 1})

\frac{\partial}{\partial y} (x^{2} + y^{4})

\int cot (x) csc^{2} (x) d x

What is the derivative of x^5-5x^4 ?
The derivative of x^5-5x^4 is 5x^4-20x^3
What is the first derivative of x^5-5x^4 ?
The first derivative of x^5-5x^4 is 5x^4-20x^3