Application of Derivatives
) Find the intervals in which the function sin3x,x∈[0,2π], is (a) increasing (b) decreasing
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Show that f(x)=x(x−5)2 satisfies Rolle's theorem on [0,5] and that the value of c is (35)
Find the slope of the tangent to the curve y=x3−3x+2 at the point whose x coordinate is 3.
Prove that the function given by f(x)=x3−3x2+3x−100 is increasing in R.
The total revenue in Rupees received from the sale of x units of a product is given by R(x)=3x2+36x+5. The marginal revenue, when x=15 is.
Using differentials, find the sum of digits approximate value of the following up to 3 places of decimal.(82)41
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Using differentials, find the approximate value of :329
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