Name: Day 11 Homework: Differentiating sin(x), cos(x), ex, In(x) Find the derivative of each function. 1.) f(0) = ~sin0-cos0 2.) y= x2 - -cosx f ' ko ): LosG + sine y = 2 x + 7 sin x 3.) f (x ) =- ex - 3sinx 4.) f ( x ) = -20* x 2 f/ ( x ) = = = 3605 x f ( X ) = 1X - ze * f' ( x ) = - 2 x - zex f . ( x ) = = 2 - 2 ex Find the slope of the graph of the function at the given point. Use proper notation. 5.) f(0) = 4sin0-0, (0,0) 6 . ) f (x ) = zer , Write the equation of the tangent line to the graph of the function at the given point 7.) f(x) = xtex, (0,1) 8.) 8 (t ) = sint+me' , , ze*sin x - sin X - Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line. c.) lim 10.) g(x) = x+sinx, OSx