Teaching JKPSC Lecturership Mock Test Series 2024-25 Engineering Mathematics Calculus Differentiability
If z = exsiny, x = loget and y = t2 then \(\frac{{dz}}{{dt}}\) is given by the expression
1
\(\frac{{{e^x}}}{t}(siny - 2{t^2}cosy)\)
2
\(\frac{{{e^x}}}{t}(siny + 2{t^2}cosy)\)
3
\(\frac{{{e^x}}}{t}(cosy + 2{t^2}siny)\)
4
\(\frac{{{e^x}}}{t}(cosy - 2{t^2}siny)\)