Some needed trig identities Trig Derivatives Graph y 1 sin x and y 2 nderiv sin x What do you notice Proof Algebraically use trig identity for sinx h Proof Algebraically ID: 622413
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Slide1
3.5 DERIVATIVES OF TRIG FUNCTIONSSlide2
Some needed trig identities:Slide3
Trig Derivatives
Graph
y1 = sin x
and y2 = nderiv
(sin x)What do you notice?Slide4
Proof Algebraically
(use trig identity for
sin(x + h)
)Slide5
Proof Algebraically
0
1Slide6
Trig Derivatives
Graph
y1 =
cos x and y2
= nderiv (cos x)What do you notice?Slide7
Proof Algebraically
(use trig identity for
cos
(x + h)
)Slide8
Proof Algebraically
0
1Slide9
Other Trig Derivatives
(quotient rule)
(trig id
cos
2
x + sin
2
x = 1
)Slide10
Other Trig Derivatives
(quotient rule)Slide11
Other Trig Derivatives
(quotient rule)Slide12
Other Trig Derivatives
(quotient rule)Slide13
Example
Find an equation of the tangent line to the function
f(x) = sec x
at the point
(slope)Slide14
Example
Find the second derivative of
y = csc x
.
(Product rule)