Solve a7-8div4*6+5

$$a 7 - 8 \div 4 \times 6 + 5$$

Evaluate

$$a_{7}-7$$

Solution Steps

Divide 8 by 4 to get 2.

$$a_{7}-2\times 6+5$$

Multiply 2 and 6 to get 12.

$$a_{7}-12+5$$

Add -12 and 5 to get -7.

$$a_{7}-7$$

Differentiate w.r.t. a_7

$$1$$

Steps Using Derivative Rule for Sum

Divide 8 by 4 to get 2.

$$\frac{\mathrm{d}}{\mathrm{d}a_{7}}(a_{7}-2\times 6+5)$$

Multiply 2 and 6 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}a_{7}}(a_{7}-12+5)$$

Add -12 and 5 to get -7.

$$\frac{\mathrm{d}}{\mathrm{d}a_{7}}(a_{7}-7)$$

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}.

$$a_{7}^{1-1}$$

Subtract 1 from 1.

$$a_{7}^{0}$$

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

$$1$$