Solve 625x10^10

$$625x { 10 }^{ 10 }$$

Evaluate

$$6250000000000x$$

Solution Steps

Calculate 10 to the power of 10 and get 10000000000.

$$625x\times 10000000000$$

Multiply 625 and 10000000000 to get 6250000000000.

$$6250000000000x$$

Differentiate w.r.t. x

$$6250000000000$$

Steps Using Definition of a Derivative

Calculate 10 to the power of 10 and get 10000000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(625x\times 10000000000)$$

Multiply 625 and 10000000000 to get 6250000000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6250000000000x)$$

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

$$6250000000000x^{1-1}$$

Subtract 1 from 1.

$$6250000000000x^{0}$$

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

$$6250000000000\times 1$$

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

$$6250000000000$$