Solve 3alpha0,15

$$3 \alpha 0,15$$

Differentiate w.r.t. α_0

$$0,45$$

Steps Using Definition of a Derivative

Multiply 3 and 0,15 to get 0,45.

$$\frac{\mathrm{d}}{\mathrm{d}\alpha _{0}}(0,45\alpha _{0})$$

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

$$0,45\alpha _{0}^{1-1}$$

Subtract 1 from 1.

$$0,45\alpha _{0}^{0}$$

For any term t except 0, t^{0}=1.

$$0,45\times 1$$

For any term t, t\times 1=t and 1t=t.

$$0,45$$

Evaluate

$$\frac{9\alpha _{0}}{20}$$

Solution Steps

Multiply 3 and 0,15 to get 0,45.

$$0,45\alpha _{0}$$