Solve 14444^28255y

$${ 14444 }^{ 2 } 8255y$$

Evaluate

$$1722233517680y$$

Solution Steps

Calculate 14444 to the power of 2 and get 208629136.

$$208629136\times 8255y$$

Multiply 208629136 and 8255 to get 1722233517680.

$$1722233517680y$$

Differentiate w.r.t. y

$$1722233517680$$

Steps Using Definition of a Derivative

Calculate 14444 to the power of 2 and get 208629136.

$$\frac{\mathrm{d}}{\mathrm{d}y}(208629136\times 8255y)$$

Multiply 208629136 and 8255 to get 1722233517680.

$$\frac{\mathrm{d}}{\mathrm{d}y}(1722233517680y)$$

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

$$1722233517680y^{1-1}$$

Subtract 1 from 1.

$$1722233517680y^{0}$$

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

$$1722233517680\times 1$$

For any term t, t\times 1=t and 1t=t.

$$1722233517680$$