What is the derivative of y=5x^8-6x+12 ?

The derivative of y=5x^8-6x+12 is 40x^7-6

What is the first derivative of y=5x^8-6x+12 ?

The first derivative of y=5x^8-6x+12 is 40x^7-6

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derivative of

y = 5 x^{8} - 6 x + 12

40 x^{7} - 6

Solution steps

\frac{d}{d x} (5 x^{8} - 6 x + 12)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{8}) - \frac{d}{d x} (6 x) + \frac{d}{d x} (12)

\frac{d}{d x} (5 x^{8}) = 40 x^{7}

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

\frac{d}{d x} (12) = 0

= 40 x^{7} - 6 + 0

Simplify

= 40 x^{7} - 6

f (t) = 3 + 8 t - t^{2}

y = x^{2} + 5

20 q - 2 q^{2}

2 (3 t + 1)^{\frac{1}{2}}

\frac{d}{d t} (0.3 cos (30 t))

What is the derivative of y=5x^8-6x+12 ?
The derivative of y=5x^8-6x+12 is 40x^7-6
What is the first derivative of y=5x^8-6x+12 ?
The first derivative of y=5x^8-6x+12 is 40x^7-6