y=(3x-5)5 (5-x5)4 dy = dx

y=(3x-5)5 (5-x5)4 dy = dx

It is a multiple choice question of entrance examination

let 𝑈(𝑥, 𝑦) be defined for all x > 0, y > 0 by 𝑈(𝑥, 𝑦) = ln(𝑥^a+y^a)-Ln(y^a) where 𝛼 is a positive constant find U'1(x,y), U'2(x,y) and U''12(x,y)

A) a graph shows a part of the curve with the equation y - 2x2(x-3). A) find the co-ordinates of the stationary points on the graph and determine the nature. B) state the range of values of...

a winding river has been modelled by the curve y=x3 - x2 -6x -2 and a road has been modelled by a straight line named AB. the road is a tangent to the river at the point A(1,-8). find the equation...

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.

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