Solve 3(1.8x)

$$3 ( 1.8 x )$$

Differentiate w.r.t. x

$$5.4$$

Steps Using Definition of a Derivative

Multiply 3 and 1.8 to get 5.4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5.4x)$$

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

$$5.4x^{1-1}$$

Subtract 1 from 1.

$$5.4x^{0}$$

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

$$5.4\times 1$$

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

$$5.4$$

Evaluate

$$\frac{27x}{5}$$

Solution Steps

Multiply 3 and 1.8 to get 5.4.

$$5.4x$$