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...

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...

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...

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

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

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!

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

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

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...

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

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...

differentiate with respect to x ax^2+2hyx+by^2

Business mathematics

Can you help me differentiate y=(4x^2+4)/5 and explain why you should not use the quotient rule for this?

differentiate with respect to x ax^2+2hyx+by^2

-53x^2

if y=1+x+x^2/2!+x^3/3!=.............+x^n/n! then prove that dy/dx+x^n/n!=y

differentiation

Question of differentiation calculus.....