Solve 42382600^2x2

$${ 42382600 }^{ 2 } x2$$

Differentiate w.r.t. x_2

$$1796284782760000$$

Steps Using Definition of a Derivative

Calculate 42382600 to the power of 2 and get 1796284782760000.

$$\frac{\mathrm{d}}{\mathrm{d}x_{2}}(1796284782760000x_{2})$$

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

$$1796284782760000x_{2}^{1-1}$$

Subtract 1 from 1.

$$1796284782760000x_{2}^{0}$$

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

$$1796284782760000\times 1$$

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

$$1796284782760000$$

Evaluate

$$1796284782760000x_{2}$$

Solution Steps

Calculate 42382600 to the power of 2 and get 1796284782760000.

$$1796284782760000x_{2}$$