Solve d/dxleft(3x^7+10x^2-13right)

$$\frac{d}{d x } \left(3 { x }^{ 7 } +10 { x }^{ 2 } -13 \right)$$

Evaluate

$$x\left(21x^{5}+20\right)$$

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}.

$$7\times 3x^{7-1}+2\times 10x^{2-1}$$

Multiply 7 times 3.

$$21x^{7-1}+2\times 10x^{2-1}$$

Subtract 1 from 7.

$$21x^{6}+2\times 10x^{2-1}$$

Multiply 2 times 10.

$$21x^{6}+20x^{2-1}$$

Subtract 1 from 2.

$$21x^{6}+20x^{1}$$

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

$$21x^{6}+20x$$

Differentiate w.r.t. x

$$126x^{5}+20$$