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54 Answered Questions for the topic cal

Cal

11/26/16

Limit using hopital rule

lim as x tends to infinity (e^-x2) (x^3+2x^2+1)

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Cal Calculus

11/24/16

Hopital rule

lim as x tends to 0 ( xlnx) I know that in order to do hopital rule it has to be in quotient rule. How do I turn xlnx into a fraction ?

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Cal

11/24/16

Related rates ( revolving light)

A revolving ligt located 10km from a straight shoreline turns at a constant angular speed of 3 rad/ min. How fast is the spot of the light moving along the shore when the beam makes an angle of... more

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Cal

11/22/16

Second derivative

f'(x)= -2x/ (x^2-1)^2 Hi, I keep messing the algebra for this derivative. Please show me steps.

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Cal

11/21/16

Solving limit using hopital

lim as x tends to +infy ( √x - lnx)

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Cal

11/21/16

Solving limit using hopital rule

lim as x tends to 0+ ( xln5/1+lnx) )

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Cal Calculus

11/20/16

Sliding ladder related rates ( finding velocity at t=1)

A 5m ladder leans against a wall . The bottom of the ladder is 1.5m from the wall at time t=0 and slides away from the wall at a rate pf 0.8m/s. Find the velocity of the top of the ladder at time t=1 more

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Cal

11/20/16

Find critical points and interval on which the function is increasing/decreasing

f(x)= - (x2 /x2-4) Find the critical points and intervals on which the function is increasing or decreasing . Use the first derivative test.

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Cal Calculus

11/12/16

Linear approximation

Using equation Δf≈f'(a)Δx , estimate Δf=f(3.02)-f(3) for the function f(x)= x4 Hi everyone, I need steps on how to do this. First, I dont undstand this equation " Δf≈f'(a)Δx " and what to plug... more

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Cal

11/04/16

Derivatives with inverse trig functions

How do I do this : y=arccos( x+arcsinx)

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Cal Calculus

11/04/16

Find equatin of the tangent line(implicit diff)

Hi, I just need to know if my answer is correct. Its asking to find the equation of the tangent line for : x2ey +yex =4 at (2,0) Answer: y=-x/2 +1

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Cal

10/31/16

Derivatives...finding a general formula for f^n (x)

Find a general formula for f(n) (x) . f(x)=x2ex Ive tried understanding how to do this from my book, and I just dont get it. This is the only question im having trouble with. I know how... more

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Cal

10/31/16