Hits: 31
Hits: 31 Question The point P(4,–1) lies on the curve C with equation y = f(x), x > 0, and a. Find the equation of the tangent to C at the point P, giving your answer in the form y = mx + c, where m and c are integers. b. Find f(x). Solution a. We are […]
Hits: 34 Question Find Giving each term in its simplest form. Solution a. We are required to find; Rule for integration of is: Rule for integration of is:
Hits: 18 Question A curve with equation y = f (x) passes through the point (2,10). Given that f ′(x) = 3×2 − 3x + 5 find the value of f (1). Solution We are required to find f(1) but we are not given f(x) but f ′(x). f ′(x) = 3×2 − 3x + 5 Therefore, we […]
Hits: 16 Question Given that , , find, in their simplest form, a. b. . Solution a. We are given; We are required to find . Gradient (slope) of the curve is the derivative of equation of the curve. Hence gradient of curve with respect to is: Therefore; Rule for differentiation is of is: Rule for differentiation is […]