What is the derivative of f(x)=28x-0.01x^2 ?

The derivative of f(x)=28x-0.01x^2 is 28-0.02x

What is the first derivative of f(x)=28x-0.01x^2 ?

The first derivative of f(x)=28x-0.01x^2 is 28-0.02x

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derivative of

f (x) = 28 x - 0.01 x^{2}

28 - 0.02 x

Solution steps

\frac{d}{d x} (28 x - 0.01 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (28 x) - \frac{d}{d x} (0.01 x^{2})

\frac{d}{d x} (28 x) = 28

\frac{d}{d x} (0.01 x^{2}) = 0.02 x

= 28 - 0.02 x

What is the derivative of f(x)=28x-0.01x^2 ?
The derivative of f(x)=28x-0.01x^2 is 28-0.02x
What is the first derivative of f(x)=28x-0.01x^2 ?
The first derivative of f(x)=28x-0.01x^2 is 28-0.02x