Solve x(3.4)*(10*10*10)

$$x ( 3.4 ) \times ( 10 \times 10 \times 10 )$$

Evaluate

$$3400x$$

Solution Steps

Multiply 3.4 and 10 to get 34.

$$x\times 34\times 10\times 10$$

Multiply 34 and 10 to get 340.

$$x\times 340\times 10$$

Multiply 340 and 10 to get 3400.

$$x\times 3400$$

Differentiate w.r.t. x

$$3400$$

Steps Using Definition of a Derivative

Multiply 3.4 and 10 to get 34.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 34\times 10\times 10)$$

Multiply 34 and 10 to get 340.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 340\times 10)$$

Multiply 340 and 10 to get 3400.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 3400)$$

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

$$3400x^{1-1}$$

Subtract 1 from 1.

$$3400x^{0}$$

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

$$3400\times 1$$

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

$$3400$$