MAC 2311 Exam 2 questions with
complete solutions
Differentiable - correct answer ✔✔ 1) f(x) is continuous at a
2) f(x) has no vertical tangent lines at a
3) f(x) has no sharp turns or cusps
Derivative - correct answer ✔✔ f'(a)=lim h→0 f(a+h)-f(a)/h
or
lim x→a f(x)-f(a)/x-a
Sums - correct answer ✔✔ [f(x)+g(x)]'=f'(x)+g'(x)
Difference - correct answer ✔✔ [f(x)-g(x)]'=f'(x)-g'(x)
Power Rule - correct answer ✔✔
(sinx)' - correct answer ✔✔ cosx
(secx)' - correct answer ✔✔ secxtanx
(tanx)' - correct answer ✔✔ sec^2x
(cosx)' - correct answer ✔✔ -sinx
complete solutions
Differentiable - correct answer ✔✔ 1) f(x) is continuous at a
2) f(x) has no vertical tangent lines at a
3) f(x) has no sharp turns or cusps
Derivative - correct answer ✔✔ f'(a)=lim h→0 f(a+h)-f(a)/h
or
lim x→a f(x)-f(a)/x-a
Sums - correct answer ✔✔ [f(x)+g(x)]'=f'(x)+g'(x)
Difference - correct answer ✔✔ [f(x)-g(x)]'=f'(x)-g'(x)
Power Rule - correct answer ✔✔
(sinx)' - correct answer ✔✔ cosx
(secx)' - correct answer ✔✔ secxtanx
(tanx)' - correct answer ✔✔ sec^2x
(cosx)' - correct answer ✔✔ -sinx
