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ListofDerivativeRules Belowisalistofallthederivativeruleswewentoverinclass. • Constant Rule: f(x)=cthenf0(x)=0 • Constant Multiple Rule: g(x)=c·f(x)theng0(x)=c ...

Absolute function f(x) = 1. -(x-c) if x 2. 0 if x = c 3. x-c if x Prove Continuous at x = a of f(x) 1. f(a) exists. f(a) is defined at x=a Any polynomial is continuous everywhere all x. Any rational function is continuous where it is defined on its domain. Basic Limit Evaluations at

Basic Differentiation Formulas. In the table below, and represent differentiable functions of ? œ 0РBС. @ œ 1РBС. B. Derivative of a constant.

1. Basic Derivative formulae (xn)0 = nxn−1 (ax)0 = ax lna (ex)0 = ex (log a x) 0 = 1 xlna (lnx)0 = 1 x (sinx)0 = cosx (cosx)0 = −sinx (tanx)0 = sec2 x (cotx)0 = −csc2 x (secx)0 = secxtanx (cscx)0 = −cscxcotx (sin−1 x)0 = 1 √ 1−x2 (cos−1 x)0 = −1 √ 1−x2 (tan−1 x)0 = 1 1+x2 (cot−1 x)0 = −1 1+x2 (sec−1 x)0 = 1 x √ x2 −1 (csc−1 x)0 = −1 x √ x2 −1 2 ...

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(x)g0(x)+g(x)f0(x) (4) d dx f(x) g(x ...

Basic Derivative formulae. (xn) = nxn−1. (ax) = ax ln a ... If y = y(x) is given implicitly, find derivative to the entire equation with respect to x.

Differentiation Formulas List. 1. Basic Differentiation Formulas. Page 2. 2. Differentiation Formulas For Trigonometric Functions. Page 3 ...

Limits and Derivatives Formulas. 1. Limits. Properties if lim ( ) ... Common Derivatives. Basic Properties and Formulas.

ListofDerivativeRules Belowisalistofallthederivativeruleswewentoverinclass. • Constant Rule: f(x)=cthenf0(x)=0 • Constant Multiple Rule: g(x)=c·f(x)theng0(x)=c ...

Derivative Rules and Formulas Rules: (1) f 0(x) = lim h!0 f(x+h) f(x) h (2) d dx (c) = 0; c any constant (3) d dx (x) = 1 (4) d dx (xp) = pxp 1; p 6= 1 (5) d dx [f(x ...

Differentiation Formulas. Let's start with the simplest of all functions, the constant function f(x) = c. The graph of this function is the horizontal.

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Limits Derivatives Math Formulas Higher-order Created Date: 1/31/2010 3:27:33 AM ...

function fx on the interval ab, use the following process. 1. Find all critical points of fx in ab, . 2. Evaluate fx at all points found in Step 1. 3. Evaluate fa and fb . 4. Identify the abs. max. (largest function value) and the abs. min.(smallest function value) from the evaluations in Steps 2 & 3.

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Limits Derivatives Math Formulas Higher-order Created Date: 1/31/2010 3:27:33 AM ...

Every odd function is symmetric about the origin. 3. Horizontal and vertical asymptotes. 1. A liney = b is a horizontal asymptote of the graph ofy = f(x) if ...

Basic Differentiation Formulas In the table below, and represent differentiable functions of ?œ0ÐBÑ @œ1ÐBÑ B Derivative of a constant.-.B œ! Derivative of constan t ( ) We could also write , and could use..?.B .B-? œ- Ð Ð-0Ñœ-0ww the “prime notion” in …

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List of Derivative Rules. Below is a list of all the derivative rules we went over in class. • Constant Rule: f(x) = c then f (x)=0.

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(x)g0(x)+g(x)f0(x) (4) d dx f(x) g(x ...

Derivative Rules and Formulas Rules: (1) f 0(x) = lim h!0 f(x+h) f(x) h (2) d dx (c) = 0; c any constant (3) d dx (x) = 1 (4) d dx (xp) = pxp 1; p 6= 1 (5) d dx [f(x ...

If y = y(x) is given implicitly, find derivative to the entire equation with respect to x. Then solve for y0. 3. Identities of Trigonometric Functions tanx = sinx cosx cotx = cosx sinx secx = 1 cosx cscx = 1 sinx sin2 x+cos2 x = 1 1+tan2 x = sec2 x 1+cot2 x = csc2 x 4. Laws of Exponential Functions and Logarithms Functions ax ·ay = ex+y log a ...

Visit http://tutorial.math.lamar.edu for a complete set of Calculus I & II notes. © 2005 Paul Dawkins. Derivatives. Basic Properties/Formulas/Rules.

Differentiation Formulas d dx k = 0. (1) d dx. [f(x) ± g(x)] = f (x) ± g (x). (2) d dx. [k · f(x)] = k · f (x). (3) d dx. [f(x)g(x)] = f(x)g (x) + g(x)f (x) ...