Solve 3x10^8

$$3x { 10 }^{ 8 }$$

Evaluate

$$300000000x$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$3x\times 100000000$$

Multiply 3 and 100000000 to get 300000000.

$$300000000x$$

Differentiate w.r.t. x

$$300000000$$

Steps Using Definition of a Derivative

Calculate 10 to the power of 8 and get 100000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x\times 100000000)$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(300000000x)$$

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

$$300000000x^{1-1}$$

Subtract 1 from 1.

$$300000000x^{0}$$

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

$$300000000\times 1$$

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

$$300000000$$