Solve 11,7-4+8x-9

$$11,7 - 4 + 8 x - 9$$

Evaluate

$$8x-1,3$$

Solution Steps

Subtract 4 from 11,7 to get 7,7.

$$7,7+8x-9$$

Subtract 9 from 7,7 to get -1,3.

$$-1,3+8x$$

Differentiate w.r.t. x

$$8$$

Steps Using Derivative Rule for Sum

Subtract 4 from 11,7 to get 7,7.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7,7+8x-9)$$

Subtract 9 from 7,7 to get -1,3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-1,3+8x)$$

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}.

$$8x^{1-1}$$

Subtract 1 from 1.

$$8x^{0}$$

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

$$8\times 1$$

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

$$8$$