Solve 12500(.34)x

$$12500(.34)x$$

Differentiate w.r.t. x

$$4250$$

Steps Using Definition of a Derivative

Multiply 12500 and 0.34 to get 4250.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4250x)$$

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

$$4250x^{1-1}$$

Subtract 1 from 1.

$$4250x^{0}$$

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

$$4250\times 1$$

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

$$4250$$

Evaluate

$$4250x$$

Solution Steps

Multiply 12500 and 0.34 to get 4250.

$$4250x$$