Solve x+(1.5x*0.3)+120

$$x+(1.5x \times 0.3)+120$$

Evaluate

$$\frac{29x}{20}+120$$

Solution Steps

Multiply 1.5 and 0.3 to get 0.45.

$$x+0.45x+120$$

Combine x and 0.45x to get 1.45x.

$$1.45x+120$$

Differentiate w.r.t. x

$$1.45$$

Steps Using Derivative Rule for Sum

Multiply 1.5 and 0.3 to get 0.45.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+0.45x+120)$$

Combine x and 0.45x to get 1.45x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1.45x+120)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$1.45x^{1-1}$$

Subtract 1 from 1.

$$1.45x^{0}$$

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

$$1.45\times 1$$

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

$$1.45$$