IB Math AI Topic 5 Calculus Review

Front

What is the derivative of the function f(x) = -4x?

Back

The derivative is -4.

Front

Which of the following is not a correct notation for 'derivative'?

Back

dy.

Front

Evaluate the definite integral of a function that results in 9/2.

Back

The answer is 9/2.

Front

Find the derivative of the function f(x) = x^3 + x^2 + 3.

Back

The derivative is 3x^2 + 2x.

Front

What equation would you use to find the maximum volume of a box made from a 7 in by 10 in rectangle of cardboard by cutting squares from the corners?

Back

Front

Define the term 'derivative' in calculus.

Back

The derivative represents the rate of change of a function with respect to a variable.

Front

What is the power rule for differentiation?

Back

If f(x) = x^n, then f'(x) = nx^(n-1).

Front

What is the integral of a constant 'c'?

Back

The integral of c with respect to x is cx + C, where C is the constant of integration.

Front

What does the notation dy/dx represent?

Back

It represents the derivative of y with respect to x.

Front

What is the product rule for differentiation?

Back

If u and v are functions of x, then (uv)' = u'v + uv'.