Solve -x^2*7x+1

$$- x ^ { 2 } \cdot 7 x + 1$$

Evaluate

$$1-7x^{3}$$

Solution Steps

Multiply -1 and 7 to get -7.

$$-7x^{2}x+1$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$-7x^{3}+1$$

Differentiate w.r.t. x

$$-21x^{2}$$

Steps Using Derivative Rule for Sum

Multiply -1 and 7 to get -7.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-7x^{2}x+1)$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-7x^{3}+1)$$

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}.

$$3\left(-7\right)x^{3-1}$$

Multiply 3 times -7.

$$-21x^{3-1}$$

Subtract 1 from 3.

$$-21x^{2}$$