Online AP Calculus AB Tutors

Online AP Calculus AB Tutors Calculus is a very important section of Mathematics which involves the study of the rate of change of functions and their areas. The two important topics of Calculus are Differentiation and Integration (also known as Anti differentiation). These two topics contain different techniques of solving various functions based on them. AP calculus AB is the Advanced placement exam given for high school to test them in Calculus. Example 1:Find the derivative of the function, f(x) = 4x2 + 6x 9 Power rule of the Derivatives: d f(xn)/dx = n*xn-1 Given function: 4x2 +6x - 9 Applying the above formula for every term of the function, we get Derivative of the given function: d f(x)/dx= d(4x2)/dx + 6 *d(x)/dx d(9)/dx df(x)/dx = 4 * 2 * x2-1 + 6x 0 (Derivative of a constant is always 0) df(x)/dx = 8x1+ 6 Hence the derivative of the function f(x) = 4x2 + 6x 9 is 8x + 6 Example 2: Find the integral (or anti-derivative) of the function,f(x) = 8x + 6. The Power Rule of Integration says that (x) n dx = x (n+1)/ (n+1) + c where c is a constant Using the above formula we get, f(x) dx = 8 * x1+1/ (1+1) +6 * x0+1/ (0+1) + c f(x) dx = 8 * x2/ 2 + 6 * x1/ (1) + c f(x) dx = 4x2+6x + c