What is the derivative of f(x)=-x^2-3x+4 ?

The derivative of f(x)=-x^2-3x+4 is -2x-3

What is the first derivative of f(x)=-x^2-3x+4 ?

The first derivative of f(x)=-x^2-3x+4 is -2x-3

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derivative of

f (x) = - x^{2} - 3 x + 4

- 2 x - 3

Solution steps

\frac{d}{d x} (- x^{2} - 3 x + 4)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (x^{2}) - \frac{d}{d x} (3 x) + \frac{d}{d x} (4)

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

\frac{d}{d x} (3 x) = 3

\frac{d}{d x} (4) = 0

= - 2 x - 3 + 0

Simplify

= - 2 x - 3

What is the derivative of f(x)=-x^2-3x+4 ?
The derivative of f(x)=-x^2-3x+4 is -2x-3
What is the first derivative of f(x)=-x^2-3x+4 ?
The first derivative of f(x)=-x^2-3x+4 is -2x-3