What is the derivative of 5x^7+6x^4-2 ?

The derivative of 5x^7+6x^4-2 is 35x^6+24x^3

What is the first derivative of 5x^7+6x^4-2 ?

The first derivative of 5x^7+6x^4-2 is 35x^6+24x^3

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derivative of

5 x^{7} + 6 x^{4} - 2

35 x^{6} + 24 x^{3}

Solution steps

\frac{d}{d x} (5 x^{7} + 6 x^{4} - 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{7}) + \frac{d}{d x} (6 x^{4}) - \frac{d}{d x} (2)

\frac{d}{d x} (5 x^{7}) = 35 x^{6}

\frac{d}{d x} (6 x^{4}) = 24 x^{3}

\frac{d}{d x} (2) = 0

= 35 x^{6} + 24 x^{3} - 0

Simplify

= 35 x^{6} + 24 x^{3}

\frac{y ^{2}}{2}

2 x^{6} (1 + x)^{5}

t^{- 1}

\frac{x ^{3} + x - 1}{2}

e^{x} + 2

What is the derivative of 5x^7+6x^4-2 ?
The derivative of 5x^7+6x^4-2 is 35x^6+24x^3
What is the first derivative of 5x^7+6x^4-2 ?
The first derivative of 5x^7+6x^4-2 is 35x^6+24x^3