given f(x) = -1/4 * ln3 * (x-1)^2 * (x-4)^2 and let us define g(x) = f(e^x) the solution for the following eqution g(g(x))=g(x) has 6 different solutions, why? i guess the...

given f(x) = -1/4 * ln3 * (x-1)^2 * (x-4)^2 and let us define g(x) = f(e^x) the solution for the following eqution g(g(x))=g(x) has 6 different solutions, why? i guess the...

find the slope of the tangent of the level curve y^3+3x^2y=-13 at an arbitrary point on the curve, and find in particular the equation of the tangent at the point( 2,-1) c) examine whether...

use the chain rule to find the following derivatives: a)dz/dt when z=e^((x)(y^3)), x=t^2+s, y=T^3+s^2 b) dz/dt when z= x^2h(x,y),x=t^2+s,y=t^3+s^2 Q2) The...

Suppose that g is a real valued, differentiable function whose derivative g' satisfies the inequality |g'(x)|less than or equal to M for all x in R. Show that if epsilon is greater than 0 is small...

h(x) = e^(ax) for x≤ 0 = √(x+b) for x>0 for which values of a and b will h(x) be differentiable at x= 0 ? if it is differentiable,...

If f is continuous on [0 , 1] , then it is also differentiable on [0 , 1] . i think this is true, but. is there a particular theorem to prove this? If f is differentiable...

use differentiation

Find a formula for f^n

Differential equations are often referred to as mathematical models. Explain what the phrase “mathematical model” can mean, experiences with mathematical models, and how the mathematical use...

If we expand (3x^2 - 1)^4 we get, (3x^2 - 1)^4 = 81x^8 - 108x^6 + 54x^4 - 12x^2 + 1 If we derive (3x^2 - 1)^4 we get, (via chain rule) 24x(3x^2...

A solid is formed by attaching a hemisphere to each end of a cylinder. If the total volume is to be 120cm3, find the radius (in cm) of the cylinder that produces the minimum surface area. Express...

Picture of the questions: http://imgur.com/a/3D3yM

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!

Differentiate 2xy-17=-3x2 to find the slope at point (2,5). help?!

Differentiate y = (2x+5)^3(6x-1)^5. Express your answer in factored form.

how do you prove that the derivative of x^n is nx^n-1

y= 1/3x3+x2-35x+10 i)Determine the critical values and find out whether these critical values are maxima or minima ii) Determine the extreme values (y values) at the maxima...

differentiate Y = 35+14x3+16x+10

Show that 3x + 4y + 25 = 0 is a tangent to the circle x^2 + y^2 = 25

A cube of ice is melting at a uniform rate. The initial volume of the cube is 20 cm^3, and the volume after five minutes is 15 cm^3. Find the rate at which the edge of the cube is decreasing after...

Leo R.

Licensed Math Teacher - SAT/ACT/ASVAB and Math Subject Tutoring

Needham Heights, MA

5.0
(139 ratings)

Daniel S.

Harvard Grad, SAT, College App Essays, Elementary (K-8) Teacher

Medford, MA

5.0
(964 ratings)

Peter L.

Math Stats Physics Data-science Code-dev. Distance-learner friendly!

Cambridge, MA

5.0
(544 ratings)