# Questions in Section Calculus I

Compute the derivative of 5xe^x-4cos(x).

Find the equation of the tangent line to the curve y=5x^2-3^x at (1,2).

Use the following graph to evaluate a) f'(1) and b) f'(6):

Use the Maclaurin series of the function 1/(1-x) to find the Maclaurin series of x/(1-x)^2.

Find f(g(x)) if f(x)=1/x and g(x)=(4-x)/(2+x)

Find the equation of the tangent line to the graph x^2+y^2-3xy=-11x at the point (-1,2).

1. Find the differential dy for y=6tan(x)
2. Evaluate dy for the given values of x and dx: x=pi/3, dx=-0.1

Let f(x)=ax^2+bx+c. Find a, b, c so that the tangent to the graph of y=f(x) at (1,5) has a slope of 1 and f(0)=-5.

Find the critical numbers of f(x)=10x^2+6x

Find lim_(x->0)(ln(x))^tan(x).