Solve a/2^3(64)-12adiv6

$$\frac { a } { 2 ^ { 3 } } ( 64 ) - 12 a \div 6$$

Evaluate

$$6a$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\frac{a}{8}\times 64-\frac{12a}{6}$$

Cancel out 8, the greatest common factor in 64 and 8.

$$8a-\frac{12a}{6}$$

Divide 12a by 6 to get 2a.

$$8a-2a$$

Combine 8a and -2a to get 6a.

$$6a$$

Differentiate w.r.t. a

$$6$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 3 and get 8.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a}{8}\times 64-\frac{12a}{6})$$

Cancel out 8, the greatest common factor in 64 and 8.

$$\frac{\mathrm{d}}{\mathrm{d}a}(8a-\frac{12a}{6})$$

Divide 12a by 6 to get 2a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(8a-2a)$$

Combine 8a and -2a to get 6a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6a)$$

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

$$6a^{1-1}$$

Subtract 1 from 1.

$$6a^{0}$$

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

$$6\times 1$$

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

$$6$$