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Test: Derivatives: Product And Quotient Rule - Question 3

Find the derivative of the given equation f(x) = x^{3} + x^{2} + 3

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Test: Derivatives: Product And Quotient Rule - Question 5

Let (tan α) x + (sin α) y = α and (α cosec α) x + (cos α) y = 1 be two variable straight lines, α being the parameter. Let P be the point of intersection of the lines. In the limiting position when α→ 0, the coordinates of P are

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Test: Derivatives: Product And Quotient Rule - Question 6

The derivative of the function sec^{2} x is:

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Test: Derivatives: Product And Quotient Rule - Question 10

The derivative of the function y = (px^{2}+qx+r)/(ax+b) w.r.t. x is :

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