Solve 2.3x10^4

$$2.3x { 10 }^{ 4 }$$

Evaluate

$$23000x$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$2.3x\times 10000$$

Multiply 2.3 and 10000 to get 23000.

$$23000x$$

Differentiate w.r.t. x

$$23000$$

Steps Using Definition of a Derivative

Calculate 10 to the power of 4 and get 10000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2.3x\times 10000)$$

Multiply 2.3 and 10000 to get 23000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(23000x)$$

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

$$23000x^{1-1}$$

Subtract 1 from 1.

$$23000x^{0}$$

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

$$23000\times 1$$

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

$$23000$$