Solve 0.8(0.9x)

$$0.8 ( 0.9 x )$$

Differentiate w.r.t. x

$$0.72$$

Steps Using Definition of a Derivative

Multiply 0.8 and 0.9 to get 0.72.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0.72x)$$

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

$$0.72x^{1-1}$$

Subtract 1 from 1.

$$0.72x^{0}$$

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

$$0.72\times 1$$

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

$$0.72$$

Evaluate

$$\frac{18x}{25}$$

Solution Steps

Multiply 0.8 and 0.9 to get 0.72.

$$0.72x$$