value differentiation


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Formation of a Differential Equation
Formation of a Differential Equation - Consider the family of lines represented by y = mx .(1)Consider the family of lines represented by y = mx .(1) This equation represents infinite number of lines passing through the origin. Differentiating (1), we get Substituting this ..
Langrange's Mean Value Theorem
Theorem 7: - Let f be real valued function in [a,b] such that, f is continuous in [a,b]. f is differentiable in (a,b..
Initial Value Problem
Because of these condition, the 2 n d order differential equation y''= 2 has particular solution x 2 + x + 2. The values f (0) = 2 and f '(0) = 1 are called initial values. The problem of finding the solution of a differential equation that satisfies these pr..
Rolle's Theorem and Mean Value Theorem
Rolle's Theorem: Let f be a real valued function in [a,b] such that f is continuous in [a,b]. f is differentiable in (a,b). ..
Working Rule for Finding Extremum Values Using First Derivative Test
Let f (x) be the real valued differentiable functio..
If the degree of the differential equation 43(y′)2 - 8 y&prime..
If the degree of the differential equation 43( y ′) 2 - 8 y ′ - 6 y = 0 is a then find the value of 4 a 2 + a + 6. => 11 or 18 or 16 or 24..
A function f is defined by: f(x) = sin 2x if 0 < x≤ π4 &..
A function f is defined by: f ( x ) = sin 2 x if 0 < x ≤ π 4 = a x + b if π 4 < x < 1 and is continuous and differentiable in its dom..
Select the statement that explains why the mean value theorem does not..
Select the statement that explains why the mean value theorem does not apply to the function f ( x ) = | x | in the interval [-1, 1]. => | x | is not continuous in (-1, 1) or | x | is not differentiable in (-1, 1) or | x | is not continuous in [-1, 1] or | x | is differenti..
For all real values of x, f(x) = - sinh (sinhx) is
For all real values of x , f ( x ) = - sinh (sinh x ) is => increasing or not differentiable or decreasing or stationary..
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