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Tricks of Differentiation | Trick-6 | Implicit Function | GV sir | Matrix Classes | One shot Derivative

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Differentiate w.r.t. x the function sin^3x+cos^6x

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Statement 1: Both sinxa n dcosx are decreasing functions in (pi/2,pi) Statement 2: If a differentiable function decreases in an interval (a , b), then its derivative also decreases in (a , b) .

If f:R rarr R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) is a continuous and differentiable bounded function on both sides, then f(x) is one-one, we need to differentiate f(x). If f'(x) changes sign in domain of f, then f, if many-one else one-one. If f:R rarr R and f(x)=2ax +sin2x, then the set of values of a for which f(x) is one-one and onto is

If f:R rarr R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) is a continuous and differentiable bounded function on both sides, then f(x) is one-one, we need to differentiate f(x). If f'(x) changes sign in domain of f, then f, if many-one else one-one. If f:R rarr R and f(x) = 2ax

Differentiate each function by applying the basic rules of differentiation (6-1//x)/(x-2)