The derivative of $x^x$ is $x^x(1+\ln x)$, derived using logarithmic differentiation. None of the provided options match this correct form.
Find the derivative of $x^x$. - $x^{(1+\ln x)}$ - $\ln x \cdot x$
Asked in lower devision clerk 2025 · Topic: Mechanics (Work, Energy, and Power)
More Physics questions
- Motion under Gravity 560. Find the derivative of $x^x$.
- When velocity is doubled, kinetic energy becomes :
- The law of conservation of energy says
- Which one of the following statements is not correct for a freely falling object?
- An iron ball and a wooden ball of the same radius are released from a height 'H' in vacuum. The time taken to reach the ground will be-
- An astronaut drops a hammer and a feather on the moon. What will happen?
- A stone of mass 1 kg and initially at rest is dropped from a tower of height 40 m. When it reaches a height of 10 m from the ground level, what will be the values of its potential energy (PE) and kinetic energy (KE)? (Acceleration due to gravity is 10 m/s²)
- A body has a free fall from a height of 20 m. After falling through a distance of 5 m, the body would