Solve 150div50+7x3-2.4

$$150 \div 50+7x3-2.4$$

Evaluate

$$7x_{3}+0.6$$

Solution Steps

Divide 150 by 50 to get 3.

$$3+7x_{3}-2.4$$

Subtract 2.4 from 3 to get 0.6.

$$0.6+7x_{3}$$

Differentiate w.r.t. x_3

$$7$$

Steps Using Derivative Rule for Sum

Divide 150 by 50 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x_{3}}(3+7x_{3}-2.4)$$

Subtract 2.4 from 3 to get 0.6.

$$\frac{\mathrm{d}}{\mathrm{d}x_{3}}(0.6+7x_{3})$$

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}.

$$7x_{3}^{1-1}$$

Subtract 1 from 1.

$$7x_{3}^{0}$$

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

$$7\times 1$$

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

$$7$$