Applications of Derivatives

JEE Main Mathematics · 4 questions

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• Let f: R → R be a differentiable function such that f((x+y)/3)=(f(x)+f(y))/3 for all x, y ∈ R, and f^′(0)=3. Then the minimum…20265 April, Shift 1 · Q19
• max_0 ≤ x ≤ π(16 sin (x/2) cos^3(x/2)) is equal to:20264 April, Shift 2 · Q12
• Let f(x) be a polynomial of degree 5, and have extrema at x=1 and x=-1. If lim_x → 0((f(x))/x^3)=-5, then f(2)-f(-2) is equal to:20262 April, Shift 2 · Q18
• The number of critical points of the function f(x)= {|(sin x)/x|, x ≠ 0; 1, x=0} in the interval (-2 π, 2 π) is equal to:20262 April, Shift 1 · Q18