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MADifferentiation formula sheet #differentiation #viralreels #maths #simplify
@mathematicshub01
#Differentiation Rules
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SHDerivative Rules // Derivative of different functions
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GADifferentiation becomes simple when you memorise these core rules.
This sheet is perfect for last-minute exam prep — save it! 📚🔥
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@gammaapplications
293
JIDIFFERENTIATION FORMULAS
BASIC DERIVATIVE FORMULAS
Derivative sqrt - f' * (x)
x ^ n
sin x
tan x
- sin x
sec x
sec(x) * tan x
cse x
- csc(x) * cot x
e ^ x
e ^ x
a ^ x
a ^ x * ln(a)
DERIVATIVE OF INVERSE TRIGONOMETRIC FUNCTION'S
RULES OF DIFFERENTIATION
1. d/dx (c) = 0
arcsin(x)
2. d/dx (cf(x)) = cf(x)
arccos(x)
3. d dx ( f(x) plus/minus g * (x) = f(x) plus/minus g' * (x)
4. d/dx [f(x) * g(x)]
5. d/dx ((f(x) * f' * (x) - f(x) * g' * (x))/([g(x)] ^ 2))
arcsec(x)
arccsc(x)
e ^ x
LOGARITHMIC DIFFERENTIATION
Used when functions are products, quotients, or powers:
1. Take in both sides: In y = ln(f(x))
2. Differentiate using chain rule and log rules
6. d dx [f(g(x)]=f( g(x) - g' * (x)
IMPLICIT DIFFERENTIATION
If y is defined implicitly by an equation inyolving x and y:] x. th en differentiate both sides with re-spect to x, treating y as a function of x and applying the chain rule.
LOGARITHMIC DIFFERENTATION
Used when functions are products, quotients, or powers:
1/(sqrt(1 - x ^ 2))
1/(1 + x ^ 2)
1/(sqrt(1 - x ^ 2))
1/(1x ^ 2 - 2)
(a ^ 2)/(a ^ 2 * ln(a))
cos x = - sin x
tan x = sec^2 x
a ^ x = a ^ x * ln(a)
arctan(x)
1/(e ^ x)
sec(x) = sec(x) * tan x
arccot(x)
1/x = 1 x ln a
n x^ -^ - 1
- csc^2 x
e ^ x = e ^ x
1 [ x ^ 2 * x' - 1
x ^ n = n * x ^ (1 - 1)
cot x
cos x
x = 1/x
@jitendra_giri_official
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PREasy way to divide numbers #math
@professor_1o1
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