Find ds/dt for s = 2ln(v) and v = et/t

Find ds/dt for s = 2ln(v) and v = et/t

Approximate the slope of the line tangent to the graph of f(x) = xcosx at x = -1

Find ʃ(5cosx - 6x - squrt(x) + 7)dx

Find the slope of the line tangent to the curve x2 + y2 = 1 at the point (-sqrt(2)/2, sqrt(2)/2).

Integrate: ʃ((6/x) - ex)dx

Find dA/dt where A = 4πr2 and both A and r are functions of t.

If f(x) = (sinx + 1)/(ex + 2), then f'(x) equals

Find f''(x) for f(x) = x3 + 7ln|x|

The volume of a spherical balloon is increasing at a rate of 2 cm3/s. What is the rate at which the diameter of the balloon is increasing when the diameter is 10 cm?

Find the point-slope form of the equation of the line normal to the graph of y = 5cos(2x) at x = π/12

Find the critical numbers of y = x4 + 4x3 - 2x2 - 12x + 4. State whether each represents a local maximum, local minimum, or neither.

Find dy/dx for y = sin3x

Find an antiderivative of 3sint

Find f'(x) where f(x) = (x3 + 2x)lnx

What is lim[t -> infinity] (5t2 + 8t + 1)/(2 - 6t - 3t2)

Calculus AB

Calculus AB

Calculus AB

f''(x)=cos(x), f'(pi/2)=7 and f(pi/2)=3

If an airplane is moving at velocity v, the drag D (in N ) on the plane is D=av2+b/v2 , where a=5.40*10-3 and b=3.08*108 . Find the value(s) of v(in km/h), for which the drag is the least...