The slope of the line tangent to a function at a given point of interest is: The

Question

The slope of the line tangent to a function at a given point of interest is: The derivative of the function evaluated at zero The derivative of the function evaluated at the point of interest. The integral of the function evaluated at zero The integral of the function evaluated at the point of interest. From a differential calculus perspective, the relationship V_Y/V_X almostequalto dy/dx is consistently true _______. only for very small values of delta x only for very small values of delta y for all values delta x and delta y only for large values of delta x and delta y

Explanation / Answer

FEOM THE DIFFERENTIAL CALCULUS WE HAVE

18) ANS : THE SLOPE OF THE LINE TANGENT TO A FUNCTION AT AGIVEN POINT OF INTEREST IS "THE DERIVATIVE OF THE FUNCTION EVALUATED AT THE POINT OF INTEREST"

   THEREFORE OPTION (b) IS CORRECT.

19) ANS : THE GIVEN RELATIONSHIP IS CONSISTENTLY TRUE "FOR ALL VALUES OF DELTAX AND DELTAY.

       THEREFOR OPTION (c) IS CORRECT.

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