Questions from General Calculus

Q: Find the derivative of the function. g(x)

Find the derivative of the function. g(x) = (2rarx + n)p

Q: Find the derivative of the function. y = [x

Find the derivative of the function. y = [x+(x + sin2 x)3]4

Q: If f and t are the functions whose graphs are shown,

If f and t are the functions whose graphs are shown, let u(x) = f (x)g(x) and v(x) = f (x)/g(x). (a) Find u’(1). (b) Find v’(5).

Q: Find y’ and y’’. y = cos (sin θ

Find y’ and y’’. y = cos (sin θ)

Q: Find an equation of the tangent line to the curve at the

Find an equation of the tangent line to the curve at the given point. y = 2x, (0 , 1)

Q: Find an equation of the tangent line to the curve at the

Find an equation of the tangent line to the curve at the given point. y = x2 ln x

Q: Find an equation of the tangent line to the curve at the

Find an equation of the tangent line to the curve at the given point. y = sin (sin x) , (π , 0)

Q: (a) Find an equation of the tangent line to the

(a) Find an equation of the tangent line to the curve y = 2 / (1 + e-x) at the point (0, 1). (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen.

Q: (a) The curve y = |x |/ 2

(a) The curve y = |x |/ 2 – x 2 is called a bullet-nose curve. Find an equation of the tangent line to this curve at the point (1, 1). (b) Illustrate part (a) by graphing the curve and the tangent...

Q: Let P(x) = F(x)G(

Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown. (a) Find P’(2). (b) Find Q’(7).