KCET 19 Permutations and Combinations 3 If 2 x 2 y = 2 x y, then d y d x is KCET 4 Let P = a i j be a 3 × 3 matrix and let Q = b i j where b i j = 2 i j a i j for 1 ≤ i, j ≤ If the determinant of P is 2, then the determinant of the matrix Q is IIT JEE 12 Determinants 5If y = xxx∞ , then x (dy/dx) is equal to (A) (y2/ 1 y log x) (B) (y2/x( 1 y log x)) (x( 1 y log x)/y2) (D) none of these CheckIf y = x^x^x^ ∞, then dy / dx =
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If y=x^x^x infinity then dy/dx is
If y=x^x^x infinity then dy/dx is-DERIVATIVE OF A TOWER OF EXPONENTS First, let us consider the derivative (with respect to x) of xˣ (which I will write as x^x) Let y = x^x Then y = e^ln(x)^x = e^ln(x)*x, where e is the base of natural logarithms Let u = ln(x)*x Then y = eAnswer 2 on a question Y = x^x^x^infinity then prove that dy/dx = 1logy/logy the answers to answersincom
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Class 12 Differentiation RD SHARMA Ex 116 Example 1, IF y= x^x^x^infinity, INFINITY TYPE , find dy/dxDifferentiation Formulas1 d\dx(sin x)=cosx2 Here we discuss How to solve Questions like y = x^x^x(infinity) in Differential Calculusyou can also watch our videosIntroduction of Graphs RatGiven y =x x x ∞x^ {x^ {x\infty }} xxx∞ Here y has repeated infinite powers of x So y = x y Take logarithm on both sides log y = y log x (1/y) (dy/dx) = y (1/x) log x (dy/dx) (dy/dx) (1/y –
Write in the form y=x^y since x^x^x^x is till infinite, we can consider it to be y, then take log on both sides and differentiate Approved Nirmal Singh askIITians Faculty 44 Points 7 years ago y = x^x^x^x^infinite we can write it y = x^y taking log both sideDy/dx is just a notation for f' (x), with f (x) = √x^x^x You can rewrite that as f (x) = (x^3)^1/2 = x^ (3/2) So the derivative is 3/2*x^ (1/2) or 3/2 * √x I don't know what infinity has to do with it, except that is x approaches infinity, so will f (x) and f' (x) 791 views Sponsored by Best Gadget Advice
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