Podcast
Questions and Answers
What is the derivative of the function $f(x) = x^3 - 3x^2 + 4$ evaluated at $x = 2$?
What is the derivative of the function $f(x) = x^3 - 3x^2 + 4$ evaluated at $x = 2$?
What is the derivative of $y = e^{2x}$ with respect to $x$?
What is the derivative of $y = e^{2x}$ with respect to $x$?
What is the second derivative of the function $f(x) = an(x)$?
What is the second derivative of the function $f(x) = an(x)$?
What is the derivative of $ln(sin(x))$ with respect to $x$?
What is the derivative of $ln(sin(x))$ with respect to $x$?
Signup and view all the answers
What is the derivative of the function $f(x) = ext{arctan}(x)$ with respect to $x$?
What is the derivative of the function $f(x) = ext{arctan}(x)$ with respect to $x$?
Signup and view all the answers
If f(x) = x^3 - 3x^2 + 4, then what is f'(2)?
If f(x) = x^3 - 3x^2 + 4, then what is f'(2)?
Signup and view all the answers
What is the derivative of sin^(-1)(x) with respect to x?
What is the derivative of sin^(-1)(x) with respect to x?
Signup and view all the answers
If y = e^(2x), then what is dy/dx?
If y = e^(2x), then what is dy/dx?
Signup and view all the answers
What is the second derivative of f(x) = ln(x)?
What is the second derivative of f(x) = ln(x)?
Signup and view all the answers
If f(x) = tan(x), what is f'(x)?
If f(x) = tan(x), what is f'(x)?
Signup and view all the answers
What is the derivative of cos(x^2) with respect to x?
What is the derivative of cos(x^2) with respect to x?
Signup and view all the answers
If y = x * e^x, what is dy/dx?
If y = x * e^x, what is dy/dx?
Signup and view all the answers
What is the derivative of arctan(x) with respect to x?
What is the derivative of arctan(x) with respect to x?
Signup and view all the answers
Study Notes
Differentiation Questions - TS EAMCET
- Question 1: If f(x) = x³ - 3x² + 4, then f'(2) is. Possible answers: A) 0, B) 2, C) 4, D) 6.
- Question 2: The derivative of sin⁻¹(x) with respect to x is. Possible answers: A) 1/√(1 - x²), B) -1/√(1 - x²), C) √(1 - x²), D) -√(1 - x²).
- Question 3: If y = e^(2x), then dy/dx is. Possible answers: A) e^(2x), B) 2e^(2x), C) (1/2)e^(2x), D) 2e^x.
- Question 4: The second derivative of f(x) = ln(x) is. Possible Answers: A) -1/x², B) 1/x², C) 1/x, D) -1/x.
- Question 5: If f(x) = tan(x), then f'(x) is. Possible answers: A) 2sec²(x)tan(x), B) sec²(x), C) sec²(x)tan(x), D) 2sec²(x).
- Question 6: The derivative of cos(x²) with respect to x is. Possible answers: A) -2xsin(x²), B) -xsin(x²), C) -2sin(x²), D) -sin(x²).
- Question 7: If y = x * eˣ, then dy/dx is. Possible answers: A) eˣ, B) x * eˣ, C) (x + 1) * eˣ, D) (x - 1) * eˣ.
- Question 8: The derivative of ln(sin(x)) with respect to x is. Possible answers: A) cot(x), B) csc(x), C) sec(x), D) tan(x).
- Question 9: If f(x) = √x, then f'(x) is. Possible answers: A) 1/(2√x), B) 1/√x, C) 2√x, D) √x.
- Question 10: The derivative of arctan(x) with respect to x is. Possible answers: A) 1/(1 + x²), B) -1/(1 + x²), C) 1/(1 - x²), D) -1/(1 - x²).
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
Test your knowledge of differentiation with this quiz designed for TS EAMCET preparation. The questions cover the basics of derivatives, including various functions and their rates of change. Perfect for anyone looking to strengthen their calculus skills.
