What is the derivative of y=6-5x^9+2x^8-2x^6 ?

The derivative of y=6-5x^9+2x^8-2x^6 is -45x^8+16x^7-12x^5

What is the first derivative of y=6-5x^9+2x^8-2x^6 ?

The first derivative of y=6-5x^9+2x^8-2x^6 is -45x^8+16x^7-12x^5

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derivative of

y = 6 - 5 x^{9} + 2 x^{8} - 2 x^{6}

- 45 x^{8} + 16 x^{7} - 12 x^{5}

Solution steps

\frac{d}{d x} (6 - 5 x^{9} + 2 x^{8} - 2 x^{6})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6) - \frac{d}{d x} (5 x^{9}) + \frac{d}{d x} (2 x^{8}) - \frac{d}{d x} (2 x^{6})

\frac{d}{d x} (6) = 0

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

\frac{d}{d x} (2 x^{8}) = 16 x^{7}

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

= 0 - 45 x^{8} + 16 x^{7} - 12 x^{5}

Simplify

= - 45 x^{8} + 16 x^{7} - 12 x^{5}

f (x) = \frac{2 x}{3 x - 1}, at x = 1

y = - 4

(- 2, 3), (10, 3)

x^{2} - 3 x + 4

f (x) = \frac{x}{x ^{2} + 1}

What is the derivative of y=6-5x^9+2x^8-2x^6 ?
The derivative of y=6-5x^9+2x^8-2x^6 is -45x^8+16x^7-12x^5
What is the first derivative of y=6-5x^9+2x^8-2x^6 ?
The first derivative of y=6-5x^9+2x^8-2x^6 is -45x^8+16x^7-12x^5