Applications Of Derivatives Mock Tests

The equation of the tangent to the curve y = x² at the point (1, 1) is:

The rate of change of the area of a circle with respect to its radius r is 64 cm²/cm when r is equal to:

The function f(x) = x³ − 3x has a local maximum at:

The function f(x) = x³ − 3x² + 3x − 1 is:

The equation of the tangent to the curve y = x² at the point (1, 1) is:

The maximum value of f(x) = x³ − 3x² + 2 on the interval [0, 3] is:

The marginal cost is given by C'(x) = 3x² − 6x + 5, where x is the number of units produced. If the fixed cost is Rs. 100, then the total cost of producing 3 units is:

The maximum value of f(x) = x² − 4x + 7 in the interval [0, 3] is: