What is the derivative of 750+12x-0.8x^7 ?

The derivative of 750+12x-0.8x^7 is -5.6x^6+12

What is the first derivative of 750+12x-0.8x^7 ?

The first derivative of 750+12x-0.8x^7 is -5.6x^6+12

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\frac{d}{d x} (750 + 12 x - 0.8 x^{7})

- 5.6 x^{6} + 12

Solution steps

\frac{d}{d x} (750 + 12 x - 0.8 x^{7})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (750) + \frac{d}{d x} (12 x) - \frac{d}{d x} (0.8 x^{7})

\frac{d}{d x} (750) = 0

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

\frac{d}{d x} (0.8 x^{7}) = 5.6 x^{6}

= 0 + 12 - 5.6 x^{6}

Simplify

= - 5.6 x^{6} + 12

What is the derivative of 750+12x-0.8x^7 ?
The derivative of 750+12x-0.8x^7 is -5.6x^6+12
What is the first derivative of 750+12x-0.8x^7 ?
The first derivative of 750+12x-0.8x^7 is -5.6x^6+12