`g(theta) = e^(theta) (tan(theta) - theta)` Differentiate.

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balajia | College Teacher | (Level 1) eNoter

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`g(theta)=e^(theta)tantheta-thetae^(theta)`

`g'(theta)=e^(theta)tantheta+e^(theta)sec^2theta-(thetae^(theta)+e^(theta))`

`g'(theta)=e^(theta)(tantheta+sec^2theta-theta-1)`