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Differentiation Formulas The following table provides the differentiation formulas for common functions. The first six rows correspond to general rules (such as the addition rule or the product rule) whereas the remaining rows contain the formulas for specific functions.

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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 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.

In this section, we have provided a PDF on differentiation formulas for easy access. This PDF includes the derivatives of some basic functions, logarithmic and ...

Differentiation Formulas The following table provides the differentiation formulas for common functions. The first six rows correspond to general rules (such as the addition rule or the product rule) whereas the remaining rows contain the formulas for specific functions. F(x) F (x) Addition f(x)±g(x) f (x)±g (x) Linearity af(x) af (x)

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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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 the other formulas as well)multiple

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

Differentiation Formulas Derivatives of Basic Functions Derivatives of Logarithmic and Exponential Functions

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

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 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 ...

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

Differentiation Formulas Derivatives of Basic Functions Derivatives of Logarithmic and Exponential Functions . Derivatives of Trigonometric Functions Derivatives of Inverse Trigonometric Functions . Differentiation Rules . dx d (In(x)) d (ax ) = ax loga

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 ...

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

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) ...

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 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 ...