Solve 782362^2x*sqrt{4}

$${ 782362 }^{ 2 } x \times \sqrt{ 4 }$$

Evaluate

$$1224180598088x$$

Solution Steps

Calculate 782362 to the power of 2 and get 612090299044.

$$612090299044x\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$612090299044x\times 2$$

Multiply 612090299044 and 2 to get 1224180598088.

$$1224180598088x$$

Differentiate w.r.t. x

$$1224180598088$$

Steps Using Definition of a Derivative

Calculate 782362 to the power of 2 and get 612090299044.

$$\frac{\mathrm{d}}{\mathrm{d}x}(612090299044x\sqrt{4})$$

Calculate the square root of 4 and get 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(612090299044x\times 2)$$

Multiply 612090299044 and 2 to get 1224180598088.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1224180598088x)$$

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

$$1224180598088x^{1-1}$$

Subtract 1 from 1.

$$1224180598088x^{0}$$

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

$$1224180598088\times 1$$

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

$$1224180598088$$