Please help I can't get these 8!
a) d/dx cos^-1(x^2+x)
b) d/dx (cos(x^2+x))^-1
c) d/dx sin^-1(ln(x)-x^3)
d) d/dx sin(ln(x)-x^3)^-1
e) d/dx ln(cos^-1(x))
f) d/dx ln((cos x)^-1)
g) d/dx exp(sin^-1(x))
h) d/dx exp((sin x)^-1)
I'll give hints, but I won't solve them:
a) Recall that
b) note that
c) Recall that
d) note that
e) Apply chain rule. It should be easy now, since I gave you the derivative of
f) Apply chain rule. Note that
g) Apply chain rule. It should be easy, since I gave you the derivative of .
h) Apply chain rule. Note that