Question

If a function is given as,\(f(x,y)=x^3 ysin\left ( \frac{\pi x}{2} \right )\) then \(f_x\)(1, 1) is:

Answer 1

Correct Answer - Option 2 : 1

Concept:

Put ​​\(f_x\)(1, 1) in \(f(x,y)=x^3 ysin\left ( \frac{\pi x}{2} \right )\) 

Calculation:

Given:

​​\(f(x,y)=x^3 ysin\left ( \frac{\pi x}{2} \right )\)

putting  ​​\(f_x\)(1, 1) in above equation,

\(f(1,1)=1^3\times1 \times sin\left ( \frac{\pi \times 1}{2} \right )\)

\(f(1,1)= sin\left ( \frac{\pi}{2} \right )\)

\(f(1,1)= 1\)

∴ Option(2) is the correct answer.