Recent content by Jan Hill

the derivative of e^2x is itself, e^2x and then this is multiplied by 2. so that part is 2e^2x and the derivative of any non ln logarithm is 1/ln of the base which gives me 1/ln3 maybe the answer should be 2e^2x/ln3 ?

Homework Statement y = log base 3 e^2x Homework Equations The Attempt at a Solution I got y' = 2e^2x divided by e^2xln3 is this right? Sorry for the pathetic way of presenting this. I haven't been able to use the lancet program for proper ways to write mathematical stuff

then I guess it should be y' = 5/(7lnx) x 7/x Y' = 35/x(7lnx) Is that right?

Homework Statement y = 5ln(7lnx) Homework Equations y' = 5 x 1/7lnx +97lnx0 x 1/x = 5(7lnx)/7lnx + 5ln x 7/x The Attempt at a Solution y' = 5 + 35ln/x is this right?

What kind of formula can I use for rate of change of the angle?

Homework Statement A 10' ladderis leaning against a house when its base starts to slide away By the time the base is 6' fromthe house, the base is moving away at a rate of 16 ft/sec a)What is the rate of change of the height of the top of the ladder? b)At what rate is the area of...

Homework Statement The function V(x) = x(14-2x)(15-x) 0<x<7 models the volume of a box Find the extreme values of V and tell whether these represent the smallest and largest volumes or only the smallest or only the largest volumes Homework Equations The Attempt at a Solution...

I put pi because the exponent becomes 2pi - pi which equals pi

Homework Statement When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.04 cm/min At what rate is the plate's area increasing when r is 54 cm Homework Equations The Attempt at a Solution let r be the radius dy/dr = 0.04 cm/min...

Homework Statement Find the value of y = sec^-1(9s^4 + 7) with respect to s Homework Equations The Attempt at a Solution secy = 9s^4 + 7 but where do I go from here?

Homework Statement y = 2x^2pi Give an exact answer in terms of pi Homework Equations The Attempt at a Solution y' = 4pix^pi Is this as far as I can go with this?

Homework Statement y = secx find the equation of the tangent to the curve at x = -9pi/4 and -7pi/4 Homework Equations the derivative is secxtanx. do I just subsitute in the values -9pi/4 and then -7pi/4 to get the answer to the slope then what? The Attempt at a Solution

You were right the 4x and 3 term are inside the brackets

Homework Statement Given 5y^2 = 4x - 3/4x + 3 Homework Equations is it permissable to say this is equal to y^2 = 4x -3 /5(4x + 3) and then 2y(dy)/(dx) = what the right side equals thru using the quotient rule? I know the answer is dy/dx = 12/5y(4x + 3)^2 but I don't know how to...

Thank you