If y=f(x3),z=g(x5),f′(x)=tanx and g′(x)=secx then the value of dydzis−
A
35x2tanx3secx5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
5x23secx5tanx3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3x25tanx3secx5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A35x2tanx3secx5 y=f(x3),z=g(x5) dydx=f′(x3)×3x2 and dzdx=g′(x5)×5x4 dydz=f′(x3)g′(x5)×351x2 dydz=35x2×f′(x3)g′(x5) =35x2tanx3secx5