Solve x*50*10^2

$$x \times 50 \times { 10 }^{ 2 }$$

Evaluate

$$5000x$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$x\times 50\times 100$$

Multiply 50 and 100 to get 5000.

$$x\times 5000$$

Differentiate w.r.t. x

$$5000$$

Steps Using Definition of a Derivative

Calculate 10 to the power of 2 and get 100.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 50\times 100)$$

Multiply 50 and 100 to get 5000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 5000)$$

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

$$5000x^{1-1}$$

Subtract 1 from 1.

$$5000x^{0}$$

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

$$5000\times 1$$

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

$$5000$$