Solve 35x^21*22/2

$$\frac { 35 x ^ { 2 } 1 \times 22 } { 2 }$$

Evaluate

$$385x^{2}$$

Solution Steps

Multiply 35 and 1 to get 35.

$$\frac{35x^{2}\times 22}{2}$$

Multiply 35 and 22 to get 770.

$$\frac{770x^{2}}{2}$$

Divide 770x^{2} by 2 to get 385x^{2}.

$$385x^{2}$$

Differentiate w.r.t. x

$$770x$$

Steps Using Definition of a Derivative

Multiply 35 and 1 to get 35.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{35x^{2}\times 22}{2})$$

Multiply 35 and 22 to get 770.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{770x^{2}}{2})$$

Divide 770x^{2} by 2 to get 385x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(385x^{2})$$

The derivative of ax^{n} is nax^{n-1}.

$$2\times 385x^{2-1}$$

Multiply 2 times 385.

$$770x^{2-1}$$

Subtract 1 from 2.

$$770x^{1}$$

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

$$770x$$