Solve 60k^6/525

$$\frac { 60 k ^ { 6 } } { 525 }$$

Differentiate w.r.t. k

$$\frac{24k^{5}}{35}$$

Steps Using Definition of a Derivative

Divide 60k^{6} by 525 to get \frac{4}{35}k^{6}.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{4}{35}k^{6})$$

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

$$6\times \frac{4}{35}k^{6-1}$$

Multiply 6 times \frac{4}{35}.

$$\frac{24}{35}k^{6-1}$$

Subtract 1 from 6.

$$\frac{24}{35}k^{5}$$

Evaluate

$$\frac{4k^{6}}{35}$$

Solution Steps

Divide 60k^{6} by 525 to get \frac{4}{35}k^{6}.

$$\frac{4}{35}k^{6}$$