Question:
If \(y=\sqrt{\log x+\sqrt{\log x+\sqrt{\log x+\sqrt{\log x+}}}}.....+\) then \(\frac{dy}{dx}\) is :
If \(y=\sqrt{\log x+\sqrt{\log x+\sqrt{\log x+\sqrt{\log x+}}}}.....+\) then \(\frac{dy}{dx}\) is :
Updated On: Jun 13, 2024
- \(\frac{1}{y(2x-1)}\)
- \(\frac{1}{xy-1}\)
- \(\frac{1}{x(2y-1)}\)
- \(\frac{1}{x(y-1)}\)
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is (C) :\(\frac{1}{x(2y-1)}\).
Was this answer helpful?
0
0
Top Questions on Derivatives
- Match List-I with List-II:
List-I List-II The derivative of \( \log_e x \) with respect to \( \frac{1}{x} \) at \( x = 5 \) is (I) -5 If \( x^3 + x^2y + xy^2 - 21x = 0 \), then \( \frac{dy}{dx} \) at \( (1, 1) \) is (II) -6 If \( f(x) = x^3 \log_e \frac{1}{x} \), then \( f'(1) + f''(1) \) is (III) 5 If \( y = f(x^2) \) and \( f'(x) = e^{\sqrt{x}} \), then \( \frac{dy}{dx} \) at \( x = 0 \) is (IV) 0 Choose the correct answer from the options given below :- CUET (UG) - 2024
- Mathematics
- Derivatives
- Let f: R → R be the function \(f(x) = \frac{1}{1+e^{-x}}\)
The value of the derivative of ƒ at x where f(x) = 0.4 is ______
(rounded off to two decimal places).
Note: R denotes the set of real numbers. - Match List-I with List-II:
List-I (Function) List-II (Derivative w.r.t. x) (A) \( \frac{5^x}{\ln 5} \) (I) \(5^x (\ln 5)^2\) (B) \(\ln 5\) (II) \(5^x \ln 5\) (C) \(5^x \ln 5\) (III) \(5^x\) (D) \(5^x\) (IV) 0
Choose the correct answer from the options given below.- CUET (UG) - 2024
- Mathematics
- Derivatives
- \(\text{ If } \sin y = x \sin(a + y), \text{ then } \frac{dy}{dx} \text{ is:}\)
- CUET (UG) - 2024
- Mathematics
- Derivatives
- If \(n-1C_r= (k^2-8)^nC_r+1\) Find \(k\).
- JEE Main - 2024
- Mathematics
- Derivatives
View More Questions
Questions Asked in CUET exam
- Two resistances of 100 \(\Omega\) and 200 \(\Omega\) are connected in series across a 20 V battery as shown in the figure below. The reading in a 200 \(\Omega\) voltmeter connected across the 200 \(\Omega\) esistance is _______.
Fill in the blank with the correct answer from the options given below- CUET (UG) - 2024
- Current electricity
- Two parallel plate capacitors of capacitances 2 \(\mu F\) and 3 \(\mu F\) are joined in series and the combination is connected to a battery of V volts. The values of potential across the two capacitors \(V_1\) and \(V_2\) and energy stored in the two capacitors \(U_1\)and \(U_2\) respectively are related as_____
Fill in the blank with the correct answer from the options given below- CUET (UG) - 2024
- Electrostatics
- Who devised the concept of Intelligence Quotient (IQ)?
- CUET (UG) - 2024
- Psychological attributes
- As per data collected in 2011, arrange the following Indian states in terms of child sex-ratio from lowest to highest:
(A) Punjab
(B) Haryana
(C) Tamil Nadu
(D) Sikkim
Choose the correct answer from the options given below:- CUET (UG) - 2024
- Social Inequality and Exclusion
- A molecule X associates in a given solvent as per the following equation:
X ⇌ (X)n
For a given concentration of X, the van’t Hoff factor was found to be 0.80 and the
fraction of associated molecules was 0.3. The correct value of ‘n’ is:- CUET (UG) - 2024
- Solutions
View More Questions