Solve 2^2*3/a-1/a=

$$2 ^ { 2 } \times \frac { 3 } { a } - \frac { 1 } { a } =$$

Evaluate

$$\frac{11}{a}$$

Short Solution Steps

Calculate 2 to the power of 2 and get 4.

$$4\times \frac{3}{a}-\frac{1}{a}$$

Express 4\times \frac{3}{a} as a single fraction.

$$\frac{4\times 3}{a}-\frac{1}{a}$$

Since \frac{4\times 3}{a} and \frac{1}{a} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4\times 3-1}{a}$$

Do the multiplications in 4\times 3-1.

$$\frac{12-1}{a}$$

Do the calculations in 12-1.

$$\frac{11}{a}$$

Differentiate w.r.t. a

$$-\frac{11}{a^{2}}$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}a}(4\times \frac{3}{a}-\frac{1}{a})$$

Express 4\times \frac{3}{a} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{4\times 3}{a}-\frac{1}{a})$$

Since \frac{4\times 3}{a} and \frac{1}{a} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{4\times 3-1}{a})$$

Do the multiplications in 4\times 3-1.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{12-1}{a})$$

Do the calculations in 12-1.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{11}{a})$$

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

$$-11a^{-1-1}$$

Subtract 1 from -1.

$$-11a^{-2}$$