Differentiation involving Logarithm
I want to verify my answer for the 2nd question.
The answer I'm getting is:
dy/dx = y/(2x + 2)(x + 2)
57 Replies
@Apu
Note for OP
+solved @user to close the thread when your doubt is solved. Mention the user who helped you solve the doubt. This will be added to their stats.My approach
Ncert question?
dont know, sir ne diya tha
Wait lemme verify
I think u made a mistake
U should be getting this
Bro peffered majduri
acha
ab inka aage lcm leke solve karna hoga?
bihari hu
Haan karna to padega
But aise questions nahi aate exam me to bas concept pe focus karo
karte hain majdoori
haan sir ne usi wajah se diya hoga
Isme first page Tak sahi hai bas wo last me bracket chod ke
Next page me upar se hi pura galat hai
Wo dekho kyu galti hui
I feel ki approach shi hai
wo log ko alag karna tha, maine ek sath sabka log leliya
multiplication wali log ki identity me addition hojata hai
Haan wo kar sakte ho
Lekin jab tumne differentiate Kiya log{(x+1)(x+2)}
U would get (2x+3)/{(x+1)(x+2)}
And similarly for the other part
And LHS me (1/y)×dy/dx bhi aayega
U missed the chain rule on RHS
ayein udhar to bas y hai
Lny ka differentiation
1/y
Chain rule
U are differentiating lny with respect to x
Ncert m hai Aisa kuch questions differential eqn m
ln(y)
dy/dx = 1/y * dy/dx
ye?
No
Rhl m dy/dx nhi hoga
D(lny)/dx hoga
LHS ka hi bata raha
d(lny)/dx = (1/y)×dy/dx
Lhs*
Rhs me to alag hoga
Mai karke dekhta hu firse doubt aayega to bolunga
Ok
iska lcm nahi lunga warna life shorten hojayegi
Exercise 5.5 q2 hai ye
Bc abb Mila
are substitution bhi to kar sakte
look at circled parts
Ncert m expand nhi kr rakja
acha
iske first question kaise hoga, I'm guessing substitution but any hints would help
Ha
@! SKULLxCRUSHER substitution method use kar sakte hain kya
Karne ko to kar sakte ho
But it only makes it lengthier
ans ko yahi chor deta hu dimag kharab hojayega warna
LHS ko to differentiate kardiya Karo bhai
bhool gaya tha
Pura galat hai 🤣
Chain rule hi nahi lagaya Bhai tumne
vo pehla image to thik hoga
dy/dx = du/dx * 1/2√u aayega
Yes this is right
But 2nd line is wrong
Chain rule lagega du/dx me
Second line first image me
Haan
chain rule laga to diya 🤔
Ruko bhejta hu
bas dy/dx nahi kiya
Le Bhai kardi majduri maine
@Sidd
are baapre
mat karo life shorten hojayega
separate kaise kardiya
chain rule lagaya hmm
aagaya samajh
thanks bro
No problem 😁
+solved @! SKULLxCRUSHER
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