## Question

###### Differentiate each of the following. a) f(x)=(x3+5x+2)sinâ¡(x)b) y=sinâ¡(x)cosâ¡(x)c) g(x)=3x1+tanâ¡(x)d) tanâ¡(x)âˆ’6x2+cosâ¡(x) Let y=tanâ¡(x)âˆ’1secâ¡(x).Show that yâ€²=1+tanâ¡(x)secâ¡(x).Find all x-values wherethe graph of f(x)=xâˆ’2cosâ¡(x)hasa horizontal tangent line.

Differentiate each of the following. a) f(x)=(x3+5x+2)sinâ¡(x) b) y=sinâ¡(x)cosâ¡(x) c) g(x)=3x1+tanâ¡(x) d) tanâ¡(x)âˆ’6x2+cosâ¡(x) Let y=tanâ¡(x)âˆ’1secâ¡(x). Show that yâ€²=1+tanâ¡(x)secâ¡(x). Find all x-values where the graph of f(x)=xâˆ’2cosâ¡(x)has a horizontal tangent line.

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