Solve 3j^2/5kdiv6j/10k

$$\frac { 3 j ^ { 2 } } { 5 k } \div \frac { 6 j } { 10 k }$$

Evaluate

$$j$$

Solution Steps

Divide \frac{3j^{2}}{5k} by \frac{6j}{10k} by multiplying \frac{3j^{2}}{5k} by the reciprocal of \frac{6j}{10k}.

$$\frac{3j^{2}\times 10k}{5k\times 6j}$$

Cancel out 2\times 3\times 5jk in both numerator and denominator.

$$j$$

Differentiate w.r.t. j

$$1$$

Steps Using Definition of a Derivative

Divide \frac{3j^{2}}{5k} by \frac{6j}{10k} by multiplying \frac{3j^{2}}{5k} by the reciprocal of \frac{6j}{10k}.

$$\frac{\mathrm{d}}{\mathrm{d}j}(\frac{3j^{2}\times 10k}{5k\times 6j})$$

Cancel out 2\times 3\times 5jk in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}j}(j)$$

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

$$j^{1-1}$$

Subtract 1 from 1.

$$j^{0}$$

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

$$1$$