Solve 7(3)^2*11(y)^3=

$$7 ( 3 ) ^ { 2 } \times 11 ( y ) ^ { 3 } =$$

Evaluate

$$693y^{3}$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$7\times 9\times 11y^{3}$$

Multiply 7 and 9 to get 63.

$$63\times 11y^{3}$$

Multiply 63 and 11 to get 693.

$$693y^{3}$$

Differentiate w.r.t. y

$$2079y^{2}$$

Steps Using Definition of a Derivative

Calculate 3 to the power of 2 and get 9.

$$\frac{\mathrm{d}}{\mathrm{d}y}(7\times 9\times 11y^{3})$$

Multiply 7 and 9 to get 63.

$$\frac{\mathrm{d}}{\mathrm{d}y}(63\times 11y^{3})$$

Multiply 63 and 11 to get 693.

$$\frac{\mathrm{d}}{\mathrm{d}y}(693y^{3})$$

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

$$3\times 693y^{3-1}$$

Multiply 3 times 693.

$$2079y^{3-1}$$

Subtract 1 from 3.

$$2079y^{2}$$