Formula Quiz (which i'm godawful at) Flashcards
d/dx[x^n]
n*x^(n-1)
d/dx[m*x^n]
mn*x^(n-1)
d/dx[f(x)*g(x)]
f’(x)g(x) + f(x)g’(x)
d/dx[f(x)/g(x)]
f’(x)g(x) - f(x)g’(x)/(g(x)^2)
d/dx[sinx]
cosx
d/dx[cosx]
-sinx
d/dx[secx]
secxtanx
d/dx[tanx]
sec^2x
d/dx[cscx]
-cscxcotx
d/dx[cotx]
-csc^2x
d/dx[f(g(x))]
g’(x)(f’(g(x))
General power rule, let u be a function of x: d/dx[u^n]
nu^(n-1)*u’
Area of a circle
πr^2
Circumference of a circle
2πr
Volume of a cylinder
πr^2h
Volume of a cone
πr^2(h/3)
Volume of a sphere
4/3(πr^3)
Area of a triangle
1/2bh
slope intercept of a line
y=mx+b
point-slope equation of a line
y-y1=m(x-x1)
area of a rectangle
lw
area of square
s^2
quadratic formula
-b/2a plus or minus square root (b^2-4ac) divided by 2a
distance formula
D=square root (x2-x1)^2 +(y2-y1)^2
surface area of a cylinder
2πrh+2πr^2
integral of x^n dx
???
integral of cosx dx
sinx + C
integral of -csc^2x
cotx + C
integral of f(x)dx from b to a
F(b)-F(a)
integral of net change/displacement
integral of v(x) from b to a
integral of total distance/volume/etc
integral of absolute |v(x)| from b to a
midpoint formula
(x2+x1/2, y2+y1/2)
slope formula
y2-y1/x2-x1
logab=x if and only if:
10^b=a
volume of a rectangular prism
v=lwh
integral of tanu du
-ln|cosu| + C
integral of cotu du
ln|sinu| + C
integral of secu du
ln|secu + tanu| + C
integral of cscu du
-ln|cscu+cotu| + C
