Byusingthechainrule,differentiatey=5tanx−−√withrespecttox. Byusingthechainrule,differentiatey=5tan⁡xwithrespecttox.

Question

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Answer 1

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Answer 2

chain rule states: dy/dx=y'=u'v+uv' let u=5 and v=tan(x); du/dx=u'=0 (hint: derivative of a constant is zero) and du/dv=v'=sec²x; Thus; y'= 0(tanx)+5(sec²x) = 5sec²x