Solve 45x(6)

$$45 x ( 6 )$$

Differentiate w.r.t. x

$$270$$

Steps Using Definition of a Derivative

Multiply 45 and 6 to get 270.

$$\frac{\mathrm{d}}{\mathrm{d}x}(270x)$$

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

$$270x^{1-1}$$

Subtract 1 from 1.

$$270x^{0}$$

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

$$270\times 1$$

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

$$270$$

Evaluate

$$270x$$

Solution Steps

Multiply 45 and 6 to get 270.

$$270x$$