Solve d/dxleft(10x^4+8x^3right)

$$\frac{d}{d x } \left(10 { x }^{ 4 } +8 { x }^{ 3 } \right)$$

Evaluate

$$8\left(5x+3\right)x^{2}$$

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}.

$$4\times 10x^{4-1}+3\times 8x^{3-1}$$

Multiply 4 times 10.

$$40x^{4-1}+3\times 8x^{3-1}$$

Subtract 1 from 4.

$$40x^{3}+3\times 8x^{3-1}$$

Multiply 3 times 8.

$$40x^{3}+24x^{3-1}$$

Subtract 1 from 3.

$$40x^{3}+24x^{2}$$

Differentiate w.r.t. x

$$24x\left(5x+2\right)$$