Let f(x)= 1/(3x+2) find the values below 1) f(x+h)= 2) (f(x+h)-f(x))= 3) lim h→0 (f(x+h)−f(x))/h 4) Find the equation of the line tangent to the graph of f at x=2.  y=?

Assume that functions f and g are differentiable with f(4)= -2, f'(4) = 3, g(4)=-4, and g'(4)= -2. Find an equation of the line tangent to the graph of F(x) = f(x)g(x) at x = 4. The equation of the tangent line is (Type an equation using x and y as the variables.) this Get more help - er.aspx?cultureld=&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandles Locale=true# Will H a J i O prt sc F10 home F11 Clear all end F12 insert Check ans 10/ delete

9. For each of the following functions: a)Find an equation of the tangent line to the curve at the given point and b) find the values of x for which the tangent line is horizontal. i) f(x)=x* - x² at the point (1, 0) ii) g(x) = at the point (2, -1/2) iii) w(x) = 1 at x=-1 1+x? iv) s(t) = tan t t=0 and t= T 4. %3D

2. Sketch the graph of y = f(x) when, (a) f(x) = ex+2, (b) f(x) = Inx, (c) f(x) = = xx -x, (d) f(x) = X x +4' and (e) f(x) = secx.

Find the equation of the line tangent to the graph of f(x) = (In x)* at x=7.