Example:
Solve the differential equation , ..
Solve the differential equation , ..Proof:
1 = A(x + a) + B (x - a) ..
1 = A(x + a) + B (x - a) ..Proof:
Put a + b - x = t -dx = dt when x = a, t = b x = b, t = a = LHS Put a - x = t -dx = dt When x = 0, t = a x = a, t = 0 ..
Put a + b - x = t -dx = dt when x = a, t = b x = b, t = a = LHS Put a - x = t -dx = dt When x = 0, t = a x = a, t = 0 ..Examples:
Derivatives are also used to trace the graphs of different functions. To optimise the value of a differentiable function of practical use, derivatives of the functions are applied. This chapter reveals with many more application of derivatives such as determining the relative error in me..
Application of Derivatives Introduction
Introduction - Let us began this chapter with the following statement: Often a physician may want to test how small changes in dosage can affect the body's response to a particular drug. An economist may want to study how investment changes with variation in interest rates. How the velocity of a he..
Application of Derivatives Animation
Application of Derivatives Animation..
Application of Derivatives Animation..Theorem 1:
Let f be continuous on [a, b] and differentiable on the open interval (a, b). Then (a) f is increasing on [a, b] if f '(x) > 0 for each x (a, b) (b) f is decreasing on [a, b] if f '(x) < 0 for each x (a, b) This theorem can be proved by using Mean Value Theorem. We shall prove the theore..
Let f be continuous on [a, b] and differentiable on the open interval (a, b). Then (a) f is increasing on [a, b] if f '(x) > 0 for each x (a, b) (b) f is decreasing on [a, b] if f '(x) < 0 for each x (a, b) This theorem can be proved by using Mean Value Theorem. We shall prove the theore..Suggested answer:
4. Sum the following: i) 1.2 + 2.4 + 3.8 +.... to n ter..
4. Sum the following: i) 1.2 + 2.4 + 3.8 +.... to n ter..Solve. q - 88 = - 28
Solve. q - 88 = - 28 => - 60 or 116 or 115 or 60..
Tommy wanted to buy a gold ring which costs $121 by saving money. His ..
Tommy wanted to buy a gold ring which costs $121 by saving money. His first day savings are $6 . Each succeeding day he saves $1 more than the previous day. With this pattern of savings, in how many days can he buy the ring? => 11 or 115 or 22 or 116..
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