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Derivative and Differentiation
The process of acquiring the derivative of a function or slope or gradient is referred to as differentiation or derivation. The derivative is denoted by (dy)/(dx) or f (x) and is provided by dividing the change in y variable by the change in x variable.
The derivative or slope or gradient of a line AB connecting points (x,y) and (x+dx, y + dy) is specified by
(Δy)/(Δx) = (change in y)/(change in x)
= (((y + (dy)) - y)/ (((x + (dx)) - x)
Whereas dy is a small change in y and dx is a small change in x variables.
If 65% of the populations have black eyes, 25% have brown eyes and the remaining have blue eyes. What is the probability that a person selected at random has (i) Blue eyes (ii) Bro
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x^2 + 10x +2 4
Question: Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations? Xy'-2y =x Xy'' -2y' =xsin(y)
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Derivatives The rate of change in the value of a function is useful to study the behavior of a function. This change in y for a unit change in x is
Assessment task This Term Assessment will require you assess the effectiveness of your current lunch budget and prepare a proposal to your caregiver to seek permission to be given
if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5 are in AP find x. 1/x+3 - 1/x+2 = 1/x+5-1/x+3 => 1/x 2 +5x+6 = 2/ x 2 +8x +15 => On solving we get x
compute the monthly payment on a 30 year level payment mortagagesasuming an annual mortgages principal of $400000
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