Trigonometric Functions. Inverse Trigonometric Functions. Derivative. Integral. Derivative. Integral x x dx d cos sin = cx dxx. +. −. = ∫ cos sin. 2. |
Page 1. Differentiation Formulas d dx k = 0. (1) d dx. [f(x) ± g(x)] = f0(x) ± g0(x). (2) d dx. [k · f(x)] = k · f0(x). (3) d dx. [f(x)g(x)] = f( ... |
If f(x)is the position of an object at time x, then ƒ '(a) is the velocity of the object at x = a. Critical points: x = c is the critical point of f (x). |
Differentiation Formulas d. 1. (xn) = nxn. N- 1 dx d. 2. (ƒg) = ƒg' + gf' dx ... At every point (x, y) a differential equation of the form = f(x, y) gives ... |
Implicit Differentiation. Find y0 if e2x−9y + x3y2 = sin(y) + 11x. Remember y = y(x) here, so products/quotients of x and y will use. |
Differentiation Formulas. General Formulas. 1. Constant Rule: [ ] 0 d c dx. = 2 ... Scalar Multiple of a Function: ( ). ( ) d. c f x. c f x dx. |
Differentiation Formulas. Derivatives of Basic Functions. Derivatives of Logarithmic and Exponential Functions. Page 2. Derivatives of Trigonometric Functions. |
This Calculus Handbook was developed primarily through work with a number of AP Calculus classes, so it contains what most students need to prepare for the ... |
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