Solve 5x*9*2

$$5 x \cdot 9 \cdot 2$$

Evaluate

$$90x$$

Solution Steps

Multiply 5 and 9 to get 45.

$$45x\times 2$$

Multiply 45 and 2 to get 90.

$$90x$$

Differentiate w.r.t. x

$$90$$

Steps Using Definition of a Derivative

Multiply 5 and 9 to get 45.

$$\frac{\mathrm{d}}{\mathrm{d}x}(45x\times 2)$$

Multiply 45 and 2 to get 90.

$$\frac{\mathrm{d}}{\mathrm{d}x}(90x)$$

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

$$90x^{1-1}$$

Subtract 1 from 1.

$$90x^{0}$$

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

$$90\times 1$$

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

$$90$$