Solve (15x^2-35x+21)

$$( 15 x ^ { 2 } - 35 x + 21 )$$

Differentiate w.r.t. x

$$30x-35$$

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}.

$$2\times 15x^{2-1}-35x^{1-1}$$

Multiply 2 times 15.

$$30x^{2-1}-35x^{1-1}$$

Subtract 1 from 2.

$$30x^{1}-35x^{1-1}$$

Subtract 1 from 1.

$$30x^{1}-35x^{0}$$

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

$$30x-35x^{0}$$

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

$$30x-35$$

Evaluate

$$15x^{2}-35x+21$$