A friend runs up to you and excitedly explains that she has found a function g with the following properties: a.) g is continuous on [0,1] and differentiable on (0,1) b.) g(0)=1...

A friend runs up to you and excitedly explains that she has found a function g with the following properties: a.) g is continuous on [0,1] and differentiable on (0,1) b.) g(0)=1...

a.) Use implicit differentiation to find the equation of the tangent line to the curve at the given point x3+y3-9/2xy =0 , (2,1) b.) if y=xx^2 find dy/dx &nb...

Let f(x) = (x4 + x3 + x2 + x + 1)(x5 + x3 + x + 2). Find the equation of the tangent line to the curve y = f(x) at the point on the curve whose x-coordinate is −1. Book...

x3+y3 -9/2xy=0 , (2,1)

(Calculus, TECHNIQUES OF DIFFERENTIATION chapter.)

The equation x4 + x + 1 = 3x3 + x2 has solutions in the open intervals (m, m + 1) and (n, n + 1) where m and n are the distinct positive integers ...

Find the limit as x approaches 1 from the right x^(1/(x-1))

Find limit -> 0 of: sec x − cos x 3x2 How can I solve that?

If f(x) = sinx, evaluate f(2+h)-f(2)/h to two decimal places as h approaches 0. Help?!

Evaluate the following limit: sinx/tanx as x approaches 0. Help?!

Evaluate the following limit: lim of sin(4theta)/(5theta) as theta approaches 0. Help!?

lim x→3 (x3 − 13x2 + 51x − 63) / (x3 − 4x2 − 3x + 18) = a / 5 Find the value of a. (It is supposue to be -4. Why?)

Evaluate the following limit: Limit of xcotx as x approaches 0.

Prove sinx/1+cosx + 1+cosx/sinx = 2 cscx, Justify significant steps. Help!?

Prove sec2x-1=sec2xsin2x, justify significant steps. (state identities used)

Find the slope of the curve 8x2+y2-2x+4y=270 at the point (-5,6). Round the answer to the nearest thousandth. Help!?

Find the slope of the tangent to the curve f(x) = x2-2x-1 at the point (3,2)

Determine the slope of the normal line to the curve y = x+1/x at the point (2,5/2). Round to the nearest hundredth.

At what point is the tangent to the curve defined by the function f(x) = 4x2-x+5 parallel to the line y-15x=1? Help!

What is the derivative of 2xy-17=-3x2? Is it -y/x-3?

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