Methods of Differentiation

JEE Main Mathematics · 2 questions

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• If y= tan^-1((3 cos x-4 sin x)/(4 cos x+3 sin x))+2 tan^-1(x/(1+√(1-x^2))), then (d y)/(d x) at x=(√3)/2 is equal to:20264 April, Shift 1 · Q16
• Let f be a real polynomial of degree n such that f(x)=f^′(x) f^′ ′(x), for all x ∈ R. If f(0)=0, then 36(f^′(2)+f^′ ′(2)+∫_0^2…20264 April, Shift 1 · Q17