What is the derivative of f(x)=-5x^2+2x-6 ?

The derivative of f(x)=-5x^2+2x-6 is -10x+2

What is the first derivative of f(x)=-5x^2+2x-6 ?

The first derivative of f(x)=-5x^2+2x-6 is -10x+2

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derivative of

f (x) = - 5 x^{2} + 2 x - 6

- 10 x + 2

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

= - 10 x + 2 - 0

Simplify

= - 10 x + 2

x \to 0 + lim (\frac{∣ x - 0 ∣}{0 - x})

\int_{2}^{\infty} x e^{- 4 x} d x

\int 3 e^{2 x^{3} + 3 x^{2} - 9} (x^{2} + x) d x

\int \frac{8 x ^{3}}{e ^{x^{4}}} d x

\frac{\partial}{\partial y} (e^{x^{2} + y^{2} - 2})

What is the derivative of f(x)=-5x^2+2x-6 ?
The derivative of f(x)=-5x^2+2x-6 is -10x+2
What is the first derivative of f(x)=-5x^2+2x-6 ?
The first derivative of f(x)=-5x^2+2x-6 is -10x+2