What is the derivative of-7(x-13^2+8(x-13)+5) ?

The derivative of-7(x-13^2+8(x-13)+5) is -14x+190

What is the first derivative of-7(x-13^2+8(x-13)+5) ?

The first derivative of-7(x-13^2+8(x-13)+5) is -14x+190

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\frac{d}{d x} (- 7 (x - 13)^{2} + 8 (x - 13) + 5)

- 14 x + 190

Solution steps

\frac{d}{d x} (- 7 (x - 13)^{2} + 8 (x - 13) + 5)

Simplify

- 7 (x - 13)^{2} + 8 (x - 13) + 5 : - 7 x^{2} + 190 x - 1282

= \frac{d}{d x} (- 7 x^{2} + 190 x - 1282)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (7 x^{2}) + \frac{d}{d x} (190 x) - \frac{d}{d x} (1282)

\frac{d}{d x} (7 x^{2}) = 14 x

\frac{d}{d x} (190 x) = 190

\frac{d}{d x} (1282) = 0

= - 14 x + 190 - 0

Simplify

= - 14 x + 190

What is the derivative of-7(x-13^2+8(x-13)+5) ?
The derivative of-7(x-13^2+8(x-13)+5) is -14x+190
What is the first derivative of-7(x-13^2+8(x-13)+5) ?
The first derivative of-7(x-13^2+8(x-13)+5) is -14x+190