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

The derivative of 6x^7-2x^5+2 is 42x^6-10x^4

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

The first derivative of 6x^7-2x^5+2 is 42x^6-10x^4

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

42 x^{6} - 10 x^{4}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (6 x^{7}) = 42 x^{6}

\frac{d}{d x} (2 x^{5}) = 10 x^{4}

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

= 42 x^{6} - 10 x^{4} + 0

Simplify

= 42 x^{6} - 10 x^{4}

n = 0 \sum \infty n e^{- n}

- 1 cos (t)

\int_{0}^{1} x (x^{2} + 1) d x

\int - t t - 1 d t

What is the derivative of 6x^7-2x^5+2 ?
The derivative of 6x^7-2x^5+2 is 42x^6-10x^4
What is the first derivative of 6x^7-2x^5+2 ?
The first derivative of 6x^7-2x^5+2 is 42x^6-10x^4