What is the derivative of f(x)=-4.9x^2+35x+4 ?

The derivative of f(x)=-4.9x^2+35x+4 is -9.8x+35

What is the first derivative of f(x)=-4.9x^2+35x+4 ?

The first derivative of f(x)=-4.9x^2+35x+4 is -9.8x+35

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derivative of

f (x) = - 4.9 x^{2} + 35 x + 4

- 9.8 x + 35

Solution steps

\frac{d}{d x} (- 4.9 x^{2} + 35 x + 4)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (4.9 x^{2}) + \frac{d}{d x} (35 x) + \frac{d}{d x} (4)

\frac{d}{d x} (4.9 x^{2}) = 9.8 x

\frac{d}{d x} (35 x) = 35

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

= - 9.8 x + 35 + 0

Simplify

= - 9.8 x + 35

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What is the derivative of f(x)=-4.9x^2+35x+4 ?
The derivative of f(x)=-4.9x^2+35x+4 is -9.8x+35
What is the first derivative of f(x)=-4.9x^2+35x+4 ?
The first derivative of f(x)=-4.9x^2+35x+4 is -9.8x+35