Solve 0,3z*0,1z

$$0,3 z \cdot 0,1 z$$

Evaluate

$$\frac{3z^{2}}{100}$$

Solution Steps

Multiply z and z to get z^{2}.

$$0,3z^{2}\times 0,1$$

Multiply 0,3 and 0,1 to get 0,03.

$$0,03z^{2}$$

Differentiate w.r.t. z

$$\frac{3z}{50}$$

Steps Using Definition of a Derivative

Multiply z and z to get z^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}z}(0,3z^{2}\times 0,1)$$

Multiply 0,3 and 0,1 to get 0,03.

$$\frac{\mathrm{d}}{\mathrm{d}z}(0,03z^{2})$$

The derivative of ax^{n} is nax^{n-1}.

$$2\times 0,03z^{2-1}$$

Multiply 2 times 0,03.

$$0,06z^{2-1}$$

Subtract 1 from 2.

$$0,06z^{1}$$

For any term t, t^{1}=t.

$$0,06z$$