Solve 10^2*0.23y=

$$10 ^ { 2 } \times 0.23 y =$$

Evaluate

$$23y$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$100\times 0.23y$$

Multiply 100 and 0.23 to get 23.

$$23y$$

Differentiate w.r.t. y

$$23$$

Steps Using Definition of a Derivative

Calculate 10 to the power of 2 and get 100.

$$\frac{\mathrm{d}}{\mathrm{d}y}(100\times 0.23y)$$

Multiply 100 and 0.23 to get 23.

$$\frac{\mathrm{d}}{\mathrm{d}y}(23y)$$

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

$$23y^{1-1}$$

Subtract 1 from 1.

$$23y^{0}$$

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

$$23\times 1$$

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

$$23$$