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Derivs of trig
- 2. Just when you thought it was
safe to go back to the classroom
Differentiation 2
(The Sequel)
- 3. What is to be learned?
• How to find derivatives of sin x and cos x
- 9. f(x) = sinx
f/
(x) = cosx
f(x) = cosx
f/
(x) = sinx–
Derivatives of Sin and Cos
f(x) = -3sinx
f/
(x) = -3cosx
f(x) = 3cosx + x2
f/
(x) = -3sinx + 2x
- 14. Gradient of tangent to y = 4cosx
at x = π
y = 4cosx
dy
/dx = -4sinx
at x= π, m= -4sinπ
m = 0
π
m = 0
- 15. rate of change of y = 2sinx + 7x
at x = π
y = 2sinx + 7x
dy
/dx = 2cosx + 7
at x= π,
rate of change = 2cosπ + 7
= 5
= 2(-1) + 7
Always use radians
- 16. Gradient of tangent to y = 3sinx
at x = π
/3
y = 3sinx
dy
/dx = 3cosx
at x= π
/3, m= 3cos (π
/3)
m = 3( ½ )
π
/3
m = 3
/2
m = 3
/2
Key
Question