Solve 1/2(82pi/45)x^2

$$\frac{ 1 }{ 2 } ( \frac{ 82 \pi }{ 45 } ) { x }^{ 2 }$$

Evaluate

$$\frac{41\pi x^{2}}{45}$$

Solution Steps

Multiply \frac{1}{2} times \frac{82\pi }{45} by multiplying numerator times numerator and denominator times denominator.

$$\frac{82\pi }{2\times 45}x^{2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{41\pi }{45}x^{2}$$

Express \frac{41\pi }{45}x^{2} as a single fraction.

$$\frac{41\pi x^{2}}{45}$$

Differentiate w.r.t. x

$$\frac{82\pi x}{45}$$