Solve 105^2x-4105x+3

$$105 ^ { 2 } x - 4105 x + 3$$

Evaluate

$$6920x+3$$

Solution Steps

Calculate 105 to the power of 2 and get 11025.

$$11025x-4105x+3$$

Combine 11025x and -4105x to get 6920x.

$$6920x+3$$

Differentiate w.r.t. x

$$6920$$

Steps Using Derivative Rule for Sum

Calculate 105 to the power of 2 and get 11025.

$$\frac{\mathrm{d}}{\mathrm{d}x}(11025x-4105x+3)$$

Combine 11025x and -4105x to get 6920x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6920x+3)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$6920x^{1-1}$$

Subtract 1 from 1.

$$6920x^{0}$$

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

$$6920\times 1$$

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

$$6920$$