Solve 6y^4y^7

$$6 y ^ { 4 } y ^ { 7 }$$

Differentiate w.r.t. y

$$66y^{10}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 4 and 7 to get 11.

$$\frac{\mathrm{d}}{\mathrm{d}y}(6y^{11})$$

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

$$11\times 6y^{11-1}$$

Multiply 11 times 6.

$$66y^{11-1}$$

Subtract 1 from 11.

$$66y^{10}$$

Evaluate

$$6y^{11}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 7 to get 11.

$$6y^{11}$$