MAT 136 Unit 2: Differentiation
y-y1=m(x-x1) - ANS-point slope form
f(x+h)-f(x)/h - ANS-derivative formula
nx^n-1 - ANS-power rule
d/dx[kf(x)] = k*df/dx = kf^1(x) - ANS-linearity
f^1(x)g(x)+f(x)g^1(x) - ANS-product rule
f'(x)g(x)-f(x)g'(x)/g(x)^2 - ANS-quotient rule
f'(g(x))g'(x) - ANS-chain rule
cos(x) - ANS-d/dx[sin(x)]
-sin(x) - ANS-d/dx[cos(x)]
sec^2(x) - ANS-d/dx[tan(x)]
sec(x)tan(x) - ANS-d/dx[sec(x)]
-csc(x)cot(x) - ANS-d/dx[csc(x)]
-csc^2(x) - ANS-d/dx[cot(x)]
sin(x)/cos(x) - ANS-tan(x)
1 - ANS-d/dx(theta)
1/cos(x) - ANS-sec(x)
1/sin(x) - ANS-csc(x)
cos(x)/sin(x) - ANS-cot(x)
e^(x) - ANS-d/dx[e^x]
logb(m)+logb(n) - ANS-logb(m*n)
y-y1=m(x-x1) - ANS-point slope form
f(x+h)-f(x)/h - ANS-derivative formula
nx^n-1 - ANS-power rule
d/dx[kf(x)] = k*df/dx = kf^1(x) - ANS-linearity
f^1(x)g(x)+f(x)g^1(x) - ANS-product rule
f'(x)g(x)-f(x)g'(x)/g(x)^2 - ANS-quotient rule
f'(g(x))g'(x) - ANS-chain rule
cos(x) - ANS-d/dx[sin(x)]
-sin(x) - ANS-d/dx[cos(x)]
sec^2(x) - ANS-d/dx[tan(x)]
sec(x)tan(x) - ANS-d/dx[sec(x)]
-csc(x)cot(x) - ANS-d/dx[csc(x)]
-csc^2(x) - ANS-d/dx[cot(x)]
sin(x)/cos(x) - ANS-tan(x)
1 - ANS-d/dx(theta)
1/cos(x) - ANS-sec(x)
1/sin(x) - ANS-csc(x)
cos(x)/sin(x) - ANS-cot(x)
e^(x) - ANS-d/dx[e^x]
logb(m)+logb(n) - ANS-logb(m*n)
