Solve pix^7-x^5-5x+6

$$\pi x ^ { 7 } - x ^ { 5 } - 5 x + 6$$

Differentiate w.r.t. x

$$7\pi x^{6}-5x^{4}-5$$

Steps Using Derivative Rule for Sum

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}.

$$7\pi x^{7-1}+5\left(-1\right)x^{5-1}-5x^{1-1}$$

Subtract 1 from 7.

$$7\pi x^{6}+5\left(-1\right)x^{5-1}-5x^{1-1}$$

Multiply 5 times -1.

$$7\pi x^{6}-5x^{5-1}-5x^{1-1}$$

Subtract 1 from 5.

$$7\pi x^{6}-5x^{4}-5x^{1-1}$$

Subtract 1 from 1.

$$7\pi x^{6}-5x^{4}-5x^{0}$$

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

$$7\pi x^{6}-5x^{4}-5$$

Evaluate

$$\pi x^{7}-x^{5}-5x+6$$