Slide 1 : DIFFERENTIATION
DIFFERENTIATION : DIFFERENTIATION Derivative of f(x) = xn is nx n – 1 for any positive integer n. differentiate x7
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Slide 7 : Derivative of trigonometric ratios
Derivative of sinx =cos x
cosx= --sinx
tanx =sec2x
cotx =--cosec²x
secx=secx tanx
cosecx =--cosecx cotx
Slide 8 : Differentiate the following
2 sinx +3cosx
5cosx +4 tanx
Slide 9 : 3.)5cosx+4cotx
4)6secx—5 cot x
Slide 10 : 5)5 cosec x+2cotx
6)7tanx+ 5sinx
Slide 11 : Differentiate using product rule
1)xsinx
2)xcosx
Slide 12 : 3)six cosx
4)sinx tanx
Slide 13 : 5)cosx tanx
6)sinxcotx
Slide 14 : Differentiate by quotient rule 1) 2)
Slide 15 : 3) 4)
Slide 16 : Find the derivative of the function given by f (x) = sin (x2).
Slide 17 : Differentiate the following
1)sinx4
2)cosx5
Slide 18 : 4)tanx5
5)sinx6
Slide 19 : 5)(2x +5)3
6) (2x³ –5x )4
Slide 20 : 7)sin(ax+b)
8)cos(px +q)
Slide 21 : 9) sin2x4
10) cos(5x3+x4)
Slide 22 : 11)tan(5x+6)
12)cot(3x+5)
Slide 23 : Derivatives of implicit functions
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