Podcast
Questions and Answers
What is the derivative of x^n with respect to x?
What is the derivative of x^n with respect to x?
- nx^n
- x^(n+1)
- nx^(n-1) (correct)
- (n-1)x^n
What is the derivative of a constant k with respect to x?
What is the derivative of a constant k with respect to x?
- kx
- 0 (correct)
- -k
- 1
What is the derivative of k*f(x) with respect to x?
What is the derivative of k*f(x) with respect to x?
- k*x*f(x)
- k*f'(x) (correct)
- f(x)*kx
- f(x)/k
What is the derivative of f(x) + g(x) with respect to x?
What is the derivative of f(x) + g(x) with respect to x?
What is the derivative of f(x) - g(x) with respect to x?
What is the derivative of f(x) - g(x) with respect to x?
When should you use the first principles method for differentiation?
When should you use the first principles method for differentiation?
What is the notation for the derivative of y = f(x) with respect to x?
What is the notation for the derivative of y = f(x) with respect to x?
What are the symbols D and d/dx called in differentiation?
What are the symbols D and d/dx called in differentiation?
What is the general rule for differentiating x raised to the power of a real number?
What is the general rule for differentiating x raised to the power of a real number?
What is the derivative of a constant multiple of a function?
What is the derivative of a constant multiple of a function?
Which of the following is a correct notation for the derivative of y with respect to x?
Which of the following is a correct notation for the derivative of y with respect to x?
When should you use the rules for differentiation?
When should you use the rules for differentiation?
What is the derivative of the sum of two functions?
What is the derivative of the sum of two functions?
What is the purpose of the differential operators D and d/dx?
What is the purpose of the differential operators D and d/dx?
What is the derivative of a function minus another function?
What is the derivative of a function minus another function?
Why do we use the rules for differentiation?
Why do we use the rules for differentiation?
What is the derivative of the function f(x) = 2x^3 with respect to x?
What is the derivative of the function f(x) = 2x^3 with respect to x?
If g(x) is a function, what is the derivative of f(x) = 3g(x) with respect to x?
If g(x) is a function, what is the derivative of f(x) = 3g(x) with respect to x?
What is the derivative of the function f(x) = x^2 + 2x with respect to x?
What is the derivative of the function f(x) = x^2 + 2x with respect to x?
What is the notation for the derivative of the function y = f(x) with respect to x, where y is the dependent variable and x is the independent variable?
What is the notation for the derivative of the function y = f(x) with respect to x, where y is the dependent variable and x is the independent variable?
What is the derivative of the function f(x) = x^4 - 2x^2 with respect to x?
What is the derivative of the function f(x) = x^4 - 2x^2 with respect to x?
What is the purpose of the differential operators D and d/dx in differentiation?
What is the purpose of the differential operators D and d/dx in differentiation?
What is the derivative of the function f(x) = 2x^2 + 3x with respect to x?
What is the derivative of the function f(x) = 2x^2 + 3x with respect to x?
If f(x) and g(x) are functions, what is the derivative of f(x) = 2f(x) + 3g(x) with respect to x?
If f(x) and g(x) are functions, what is the derivative of f(x) = 2f(x) + 3g(x) with respect to x?
