Question:
If y = \(10^{10^x}\), then \(\frac{dy}{dx}\) is :
If y = \(10^{10^x}\), then \(\frac{dy}{dx}\) is :
Updated On: Jun 13, 2024
- \(10^{10^x}\) (log 10)
- \(10^{10^x}\) (log 10)2
- \(10^{10^x}\) 10x (log 10)2
- \(10^{10^x}\) 10x (log 10)
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is (C) :\(10^{10^x}\) 10x (log 10)2.
Was this answer helpful?
0
0
Top Questions on Derivatives
- If \( y = x^x + x^x \), then find \( \frac{dy}{dx} \):
- MHT CET - 2025
- Mathematics
- Derivatives
- Given \( f'(1) = 3 \), \( f(1) = 1 \), and
\[ y = f\left(f(f(x))\right) + \left(f(x)\right)^2, \] then find \( \frac{dy}{dx} \) at \( x = 1 \).- MHT CET - 2025
- Mathematics
- Derivatives
- The function \( f(x) = \tan x - x \)
- KCET - 2025
- Mathematics
- Derivatives
- The derivative of \( \sin x \) with respect to \( \log x \) is:
- KCET - 2025
- Mathematics
- Derivatives
- If \( y = a \sin^3 t \), \( x = a \cos^3 t \), then \( \frac{dy}{dx} \) at \( t = \frac{3\pi}{4} \) is:
- KCET - 2025
- Mathematics
- Derivatives
View More Questions
Questions Asked in CUET exam
- The average of 101 consecutive odd numbers is 303. Find the largest number.
- The current through a \(\frac{4}{3}\Omega\) external resistance connected to a parallel combinationof two cells of 2 V and 1 V emf and internal resistances of 1 \(\Omega\) and 2 \(\Omega\) respectively is ______.
Fill in the blank with the correct answer from the options given below- CUET (UG) - 2024
- Current electricity
- 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 charged metallic spheres with radii \(R_1\) and \(R_2\) are brought in contact and then separated. The ratio of final charges \(Q_1\) and \(Q_2\) on the two spheres respectively will be _____.
Fill in the blank with the correct answer from the options given below- CUET (UG) - 2024
- Electrostatics
- Who said separate electorates was a “poison that has entered the body politic of the country” during the Constituent Assembly debates?
- CUET (UG) - 2024
- The Making of the Constitution
View More Questions