Derivative of y = x^x^x #jeemains #derivatives #jee

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By taking log both side
our equation becomes:-
ln(y) = xlnπ
then diff. both side w.r.t x
=> 1/y dy/dx = lnπ
=> dy/dx = π^x lnπ

So, π^x lnπ is the answer 🙂

mrsivasa
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1/y×dy/dx = x/π +π

Dy/dx =y(x/π +π) ❤❤

Logicaltube
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The answer is (π^x. ln π)Take logarithm ( natural logarithm on both sides) of the expression y = π^x
We get : ln y = ln π^x
By using the properties of logarithmic function, we get -
ln y = x ln π
Differentiate both sides -
d/dx ( ln y) = d/dx ( x ln π)
By applying chain rule ( as the variable is y) to LHS, we get
(1/y) dy/dx
By applying product rule to RHS, we get- x. dy/dx ( ln π) + ln π. dy/dx (x)
= x. 0 + ln π. 1
( Since ln π is a constant, it's derivative= 0)
= ln π.
So R.H.S = ln π.
Now proceeding with the previous equation, we have
(1/y) dy/dx = ln π
=> dy/dx = y (ln π)
We know that y = π^x
So substituting y with it, we get,
dy/dx = π^x (ln π)
So, derivative of π^x = π ^x ( ln π).
Thank you sir😊

swetapadmamahapatra
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Homework question answer -
Taking log,
lny = xlnπ
Differentiating W. R. T x:
dy/dx = π^x[lnπ + x/π]

aayushjawalekar
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Home work Question karke mja aa gya sir😀

Jashankaur
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Sir mein abhi class 10th mein hu mujhe abhi konse konse chapters padhne chahiye maths ke jisse meri 11th mein problem nahi aaye .

the.adityayadav
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Accha sir tell me differentiation of x^e^logx

SmilingMathEquation-dqoq
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Bhaiya im in class 8 and ofcourse I cannot understand this, and I want to do IIT... where shld I start frm?

-EArnavSingh
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8:08 Ma’am mera sirf hindi weak hai mai kya karu

Gamingzone_