Differentiation Chapter 9 Flashcards
What does sin kx diff to
kcoskx
What does nCoskx diff to
-knSinkx
What does e x diff to
e x
What does ae bx diff to
abe bx
What does ae f(x) diff to
af’(x)e f(x)
What does ak f(x) diff to
af’(x)k f(x) x lnk
What does lnx diff to
1/x
What does ln(f(x)) diff to
1/f(x) x f’(x)
what does ax n diff to
nax (n-1)
What does k(ax+b)n diff to
nk(ax+b)n-1 x a
What does k( f(x) )n diff to
nk( f(x) )n-1 x f’(x)
What can dy/dx be broken down into
dy/du x du/dx
What is dy/dx x dx/dy equal to
1
What is kSinn (mx) diff to
knSin(n-1) (mx) x mcos(mx)
What does kCosn (mx) diff to
knCos(n-1) (mx) x -mSin(mx)
What does f(x)g(x) diff to
f’(x)g(x) + f(x)g’(x)
What does f(x) / g(x) diff to
f’(x)g(x) - f(x)g’(x) / (g(x))2
What does tankx diff to
ksec2 kx
in formula book
what does cotkx diff to
-kcosec2 kx
in formula book
what does coseckx diff to
-kcoseckxcotkx
in formula book
what does seckx diff to
kseckxtankx
in formula book
What equation do you use for parametric equations
dy/dx = dy/dt x dt/dx
What does it mean when f’‘(x) is bigger than 0
f(x) is convex
What does it mean when f’‘(x) is less than 0
f(x) is concave
What does it mean when f’‘(x) =0
point of inflexion
How do you find points of inflexion
solve f’‘(x) = 0
How do you prove a point is a point of inflexion
show that f’‘(x) changes sign close to your point
