CALC 2 JUMPSTART QUIZ REVIEW WITH ANSWERS -12

CALC 2 JUMPSTART QUIZ REVIEW WITH ANSWERS #12
d/dx (k) - correct answer 0

d/dx (x) - correct answer 1

d/dx (x^n) - correct answer nx^n-1

d/dx (f(x)g(x)) - correct answer f(x)g'(x) + g(x)f'(x)

d/dx [f(x)/g(x)] - correct answer g(x)f'(x)-f(x)g'(x)/g(x)^2

d/dx (f(g(x))) - correct answer f'(g(x))g'(x)

d/dx (sin(x)) - correct answer cos(x)

d/dx (cos(x)) - correct answer -sin(x)

d/dx (tan(x)) - correct answer sec^2x

d/dx (cot(x)) - correct answer -csc^2x

d/dx (sec(x)) - correct answer sec(x)tan(x)

d/dx (csc(x)) - correct answer -csc(x)cot(x)

d/dx (arcsin(x)) - correct answer 1/sqrt(1-x^2)

d/dx (arccos(x)) - correct answer -1/sqrt(1-x^2)

d/dx (arctan(x)) - correct answer 1/(1+x^2)

d/dx (arccot(x)) - correct answer -1/(1+x^2)

d/dx (arcsec(x)) - correct answer 1/|x|sqrt(x^2-1)

d/dx (arccsc(x)) - correct answer -1/|x|sqrt(x^2-1)

d/dx (eˣ) - correct answer eˣ

d/dx (ln(x)) - correct answer 1/x

d/dx (a^x) (a is a constant) - correct answer a^x ln(a)

d/dx (loga(x)) - correct answer 1/xlna