Solve x(3.34*10^5)

$$x(3.34 \times { 10 }^{ 5 } )$$

Evaluate

$$334000x$$

Solution Steps

Calculate 10 to the power of 5 and get 100000.

$$x\times 3.34\times 100000$$

Multiply 3.34 and 100000 to get 334000.

$$x\times 334000$$

Differentiate w.r.t. x

$$334000$$

Steps Using Definition of a Derivative

Calculate 10 to the power of 5 and get 100000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 3.34\times 100000)$$

Multiply 3.34 and 100000 to get 334000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 334000)$$

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

$$334000x^{1-1}$$

Subtract 1 from 1.

$$334000x^{0}$$

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

$$334000\times 1$$

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

$$334000$$