Solve 10^7x+1

$$10 ^ { 7 } x + 1$$

Differentiate w.r.t. x

$$10000000$$

Steps Using Derivative Rule for Sum

Calculate 10 to the power of 7 and get 10000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(10000000x+1)$$

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}.

$$10000000x^{1-1}$$

Subtract 1 from 1.

$$10000000x^{0}$$

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

$$10000000\times 1$$

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

$$10000000$$

Evaluate

$$10000000x+1$$

Solution Steps

Calculate 10 to the power of 7 and get 10000000.

$$10000000x+1$$