What is the derivative of 5x^9-2x^6 ?

The derivative of 5x^9-2x^6 is 45x^8-12x^5

What is the first derivative of 5x^9-2x^6 ?

The first derivative of 5x^9-2x^6 is 45x^8-12x^5

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derivative of

5 x^{9} - 2 x^{6}

45 x^{8} - 12 x^{5}

Solution steps

\frac{d}{d x} (5 x^{9} - 2 x^{6})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{9}) - \frac{d}{d x} (2 x^{6})

\frac{d}{d x} (5 x^{9}) = 45 x^{8}

\frac{d}{d x} (2 x^{6}) = 12 x^{5}

= 45 x^{8} - 12 x^{5}

\frac{6}{s ^{5}}

\frac{d y}{d t} - \frac{8}{t} \cdot y = t^{5}

\frac{d}{d x} ((\frac{x ^{2}}{x ^{2} + 2})^{2})

cos (3 t + 5) e^{2 t}

\frac{d ^{2}}{d x ^{2}} (4 x - 5 x^{\frac{3}{4}})

What is the derivative of 5x^9-2x^6 ?
The derivative of 5x^9-2x^6 is 45x^8-12x^5
What is the first derivative of 5x^9-2x^6 ?
The first derivative of 5x^9-2x^6 is 45x^8-12x^5