What is the derivative of 5x^4-x^6 ?

The derivative of 5x^4-x^6 is 20x^3-6x^5

What is the first derivative of 5x^4-x^6 ?

The first derivative of 5x^4-x^6 is 20x^3-6x^5

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derivative of

5 x^{4} - x^{6}

20 x^{3} - 6 x^{5}

Solution steps

\frac{d}{d x} (5 x^{4} - x^{6})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{4}) - \frac{d}{d x} (x^{6})

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

\frac{d}{d x} (x^{6}) = 6 x^{5}

= 20 x^{3} - 6 x^{5}

\int x csc (6 x^{2}) d x

\frac{d y}{d t} = \frac{t e ^{t}}{y 5 + y ^{2}}

\frac{d}{d x} (\frac{sin ( x )}{( 1 + cos ( x ) ) ^{2}})

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

\frac{( s + 1 )}{( s ^{2} + s + 10 )}

What is the derivative of 5x^4-x^6 ?
The derivative of 5x^4-x^6 is 20x^3-6x^5
What is the first derivative of 5x^4-x^6 ?
The first derivative of 5x^4-x^6 is 20x^3-6x^5