Solve 4x-10^2+5

$$4 x - 10 ^ { 2 } + 5$$

Evaluate

$$4x-95$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$4x-100+5$$

Add -100 and 5 to get -95.

$$4x-95$$

Differentiate w.r.t. x

$$4$$

Steps Using Derivative Rule for Sum

Calculate 10 to the power of 2 and get 100.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x-100+5)$$

Add -100 and 5 to get -95.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x-95)$$

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}.

$$4x^{1-1}$$

Subtract 1 from 1.

$$4x^{0}$$

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

$$4\times 1$$

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

$$4$$