Solve 2(5)*3-x6+24

$$2(5) \times 3-x6+24$$

Evaluate

$$54-x_{6}$$

Solution Steps

Multiply 2 and 5 to get 10.

$$10\times 3-x_{6}+24$$

Multiply 10 and 3 to get 30.

$$30-x_{6}+24$$

Add 30 and 24 to get 54.

$$54-x_{6}$$

Differentiate w.r.t. x_6

$$-1$$

Steps Using Derivative Rule for Sum

Multiply 2 and 5 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}x_{6}}(10\times 3-x_{6}+24)$$

Multiply 10 and 3 to get 30.

$$\frac{\mathrm{d}}{\mathrm{d}x_{6}}(30-x_{6}+24)$$

Add 30 and 24 to get 54.

$$\frac{\mathrm{d}}{\mathrm{d}x_{6}}(54-x_{6})$$

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}.

$$-x_{6}^{1-1}$$

Subtract 1 from 1.

$$-x_{6}^{0}$$

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

$$-1$$