3. Warm up examples

Just to get back in the flow we'll find a few derivatives.

Find the derivative of the function $4 + 3\,x - 5\,x^2$.

Find the derivative of the function $7 + 8\,ln(x)$.

Find the derivative of the function $17 + 6\, x^{0.5}$.

Remember the key rules we have just applied:

The derivative of a sum is the sum of the derivatives.

$$\fbox{$\frac{d}{dx}\left(f(x) + g(x)\right) = \frac{d}{dx} f(x) + \frac{d}{dx}g(x)$ .}$$

The derivative of a constant times a function, is the constant times the derivative of the function.

$$\fbox{$\frac{d}{dx}\left(C \, g(x)\right) = C\,\frac{d}{dx} f(x)$ }$$