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Power Rule: (d/dx) (xn ) = nx · Derivative of a constant, a: (d/dx) (a) = 0 · Derivative of a constant multiplied with function f: (d/dx) (a. f) = af' · Sum Rule: ...

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

Differentiation Formulas List In all the formulas below, f’ means d(f(x)) dx = f′(x) d ( f ( x)) d x = f ′ ( x) and g’ means d(g(x)) dx d ( g ( x)) d x = g′(x) g ′ ( x) . Both f and …

Properties · (f(x)±g(x))′=f′(x)±g′(x)ORddx(f(x)±g(x))=dfdx±dgdx ( f ( x ) ± g ( x ) ) ′ = f ′ ( x ) ± g ′ ( x ) OR d d x ( f ( x ) ± g ( x ) ) = ...

Basic Differentiation Formulas for Calculus 1. 13,226 views13K views. Jul 22, 2019. 166. Dislike. Share. Save ...

26.05.2020 · Next, let’s take a quick look at a couple of basic “computation” formulas that will allow us to actually compute some derivatives. Formulas If f (x) = c f ( x) = c then f ′(x) =0 OR d dx (c) = 0 f ′ ( x) = 0 OR d d x ( c) = 0 The derivative of a constant is zero.

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 Rules

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 List Power Rule: (d/dx) (xn ) = nxn-1 Derivative of a constant, a: (d/dx) (a) = 0 Derivative of a constant multiplied with function f: (d/dx) (a. f) = af’ Sum Rule: (d/dx) (f ± g) = f’ ± g’ Product Rule: (d/dx) (fg) = fg’ + gf’ Quotient Rule: d dx( f g) d d x ( f g) = ...

Differentiation Formulas List

A derivative is the rate of change of a function with respect to another quantity. The laws of Differential Calculus were laid by Sir Isaac Newton. The ...

𝑑𝑘/𝑑𝑥=0 (𝑑(𝑥))/𝑑𝑥=1 (𝑑(𝑘𝑥))/𝑑𝑥=𝑘 (𝑑(𝑥^𝑛))/𝑑𝑥=𝑛𝑥^(𝑛 − 1) (𝑑(𝑒^𝑥))/𝑑𝑥=𝑒^𝑥 (𝑑(ln⁡〖(𝑥)〗))/𝑑𝑥=1/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) = g(x)f0(x)−f(x)g0(x) [g(x)]2 (5) d dx f(g(x)) = f0(g(x))·g0(x) (6) d dx xn = nxn−1 (7) d dx sinx = cosx (8) d dx cosx = −sinx (9) d dx tanx = sec2 x (10) d dx cotx = −csc2 x (11) d dx secx = secxtanx (12) d dx

Differentiation Formulas: The following are some of the essential separation formulas: If f (x) = tan (x), then f’ (x) = sec² (x) If f (x) = cos (x) , then f’ (x) = - sinx. If f (x) = sin (x) , then f’ (x) = cosx. If f (x) = ln (x) , then f’ (x) =. 1 x.

The constant multiple rule: What if the function you're differentiating begins with a coefficient? · The sum rule: When you want the derivative ...

The basic rules and formulas are very important in differentiation so practice and revise them regularly. A clear concept about the nature of functions need to be established Understand the logic behind the application of derivatives.

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) ...