Solve 22*x^2*3.341^2/7

$$\frac{ 22 \times { x }^{ 2 } \times { 3.341 }^{ 2 } }{ 7 }$$

Evaluate

$$\frac{122785091x^{2}}{3500000}$$

Solution Steps

Calculate 3.341 to the power of 2 and get 11.162281.

$$\frac{22x^{2}\times 11.162281}{7}$$

Multiply 22 and 11.162281 to get 245.570182.

$$\frac{245.570182x^{2}}{7}$$

Divide 245.570182x^{2} by 7 to get \frac{122785091}{3500000}x^{2}.

$$\frac{122785091}{3500000}x^{2}$$

Differentiate w.r.t. x

$$\frac{122785091x}{1750000}$$

Steps Using Definition of a Derivative

Calculate 3.341 to the power of 2 and get 11.162281.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{22x^{2}\times 11.162281}{7})$$

Multiply 22 and 11.162281 to get 245.570182.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{245.570182x^{2}}{7})$$

Divide 245.570182x^{2} by 7 to get \frac{122785091}{3500000}x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{122785091}{3500000}x^{2})$$

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

$$2\times \frac{122785091}{3500000}x^{2-1}$$

Multiply 2 times \frac{122785091}{3500000}.

$$\frac{122785091}{1750000}x^{2-1}$$

Subtract 1 from 2.

$$\frac{122785091}{1750000}x^{1}$$

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

$$\frac{122785091}{1750000}x$$