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Product Rule
If the two functions f(x) & g(x) are differentiable (i.e. the derivative exist) then the product is differentiable and,
( f g )′ = f ′ g + f g′
Example Determinant: Determine the determinant of each of the following matrices. Solution : For the 2 x 2 there isn't much to perform other than to plug this in
Find the solution to the subsequent IVP. ty' - 2y = t 5 sin(2t) - t 3 + 4t 4 , y (π) = 3/2 π 4 Solution : First, divide by t to find the differential equation in the accu
the operations of cyclic permutations
Differentiate following. Solution : It requires the product rule & each derivative in the product rule will need a chain rule application as well. T ′ ( x ) =1/1+(2x) 2
X= acost, Y= bsint find paramatric equation
Equal-sharing - situations in which we need to find out how much each portion Multiplication and Division contains when a given quantity is shared out into a number of equal porti
One inch equals 2.54 centimeters. The dimensions of a table made in Europe are 85 cm huge by 120 cm long. What is the width of the table in inches? Round to the nearest tenth of an
INTEGRAL OF X5^X
I have a journal article in applied mathematics and want to analyze the solutions step by step. Is there anyone specialize in this file?
the function g is defined as g:x 7-4x find the number k such that kf(-8)=f- 3/2
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