10/16/16
Suppose that f(2) = -5, g(2) = 3, f '(2) = -2, and g'(2) = 1. Find h'(2) for h(x) = g(x)/(1+f(x))
Suppose that f(2) = −5, g(2) = 3, f '(2) = −2, and g'(2) = 1. Find h'(2) for h(x) = g(x)/(1+f(x))
An open box with its base having a length twice its width is to be constructed with 600 square cm of material. Find its dimensions that maximize the volume.
so I am asked to maximize l*w*h = 2w^2*h
l*w +2w*h+2lh=600
I solved for h in terms of w
2w*w+2wh+2*2wh=600
2wh+4wh=600-2w^2
h(6w)=600-2w^2
h=(600-2w^2)/(6w)
I plugged it into l*w*h and...
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10/15/16
Dealing with unknown constant within summation.
I want to be able to rearrange the equation so that the constant B is removed form the sine component of the following summation.
Example (i=1 to n) Σ sin(Bxi)cos(BXi) = 0?
I have all the...
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10/14/16
How do I find the derivative of 7x (lnx +ln7)-8x+e?
F (x)= 7x (lnx +ln7)-8x+e
I assumed e was a constant so it's derivative is 0, and the derivative of an ln constant is 0 so I got
7 (lnx+ln7)*(1/x) -8
but I got it wrong and I'm a little stupped...
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10/14/16
Graph Transformtions
given g(x)=3(cube root of -x)+6 describe the transformations in the appropriate order. Create a sketch of the new function and label 3 points.
I was unsure of how to put in a cube root symbol...
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10/13/16
how to take the derivative of a natural log function.
so the function given is a(t)=ln((1-cost)/(1+cost))^4
my teacher said I can't take the natural log of a natural log so I don't know how to take the derivative of this function. please help me.
10/12/16
simplifying with radicals
In Algebra 1 I am given the following problem:
Simplify: 6√8 + 5√12 x 3√2 x 4√3
Please help me.
10/12/16
non-linear function
In Algebra 1 I am given the following problem:
Give an example of a non-linear function.
Please help me.
10/12/16
how to take the derivative of a trig function if the trig function is the exponent
So I was given 4^cos(x) and I approached it like a power functions so I dot the derivative (cos(x)*4^cos(x)-1) * -sin(x) but I got it wrong. The only other thing I could think of was taking the log...
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10/12/16
MAT1033 word problem
A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars...
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10/12/16
Finding derivatives of trig functions.
Find the derivative of the function. y = 5tan(x^6) + sec(π/3)
So my teacher gave us this question to think about and I'm not sure how to approach it. Would you just use the product and chain...
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10/12/16
FindING the approximation of a sqroot
A) f(x) = sqr (x) Find the tangent line for x = 25.
B) using the tangent line in a, find the approximation of sqr (26)
I know how to do part A but I don't know how to do part B. How would...
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10/12/16
Tangent to line x+2y=4 whose center (3,3) find the equation?
analytic geometry
"CIRCLES"
Tangent to line x+2y+4 whose center (3,3) find the equation?
10/11/16
Using the chain rule to take the derivative at a given point
So the function is u(x)=h(√x)
I used the chain rule for this function. I rasied x^1/2 power first.
So then I took du/dx= h'(x^(1/2))* (1/2)x^(-1/2)
Then (h'(x^(1/2))*...
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10/11/16
I do not understand how to solve this. Please help!
The length of the rectangle is one more meter than 4 times its width. Find the dimensions if the perimeter is 52 meters.
10/11/16
Given: l || m;< 1 = 20x + 5; <2 = 24x - 1
Given: l || m;< 1 = 20x + 5; <2 = 24x - 1
https://wca.sooschools.com/media/g_geo_ccss_2016/3/img_geou03l11_13.gif
Find the value of x. Demonstrate theorems about lines and angles...
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10/11/16
Please help me with this mixture problem and show work to help me better understand
In a spice shop nutmeg sells for for $1,82 per ounce and cinnamon sells for $1.28 per ounce. If 8 ounces of nutmeg are mixed with 10 ounces of cinnamon, what should the shop charge the customers...
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10/10/16
using a table find the derivatives of a combined function. I keep getting it wrong.
The table is x f(x) g(x) f'(x) g'(x) f''(x)
0 -2 1 -1 4 3
1 3 2 3 -2 -4
2 1 0 -2 3 ...
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10/10/16
I was given what the function and its derivative equal, so I have to use those values to find the derivative of a new function.
Suppose f(2) = 9 and f '(2) = 4. Find the derivatives of the following functions.
a) g(x)= √f(x) find g'(2)
So I approached it with the chain rule and I got .67 but I got that answer wrong so...
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10/10/16
how to find really complex derivatives (please correct my thinking)
part c) g(θ) = 8(7)^−θ
I tried to find this and I used the chain rule where I assumed 8 was the outer derivative and (7)^−θ was the inner derivative.
I got 8* -θ(7)^(-θ-1) but I got it wrong....
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10/10/16
find y'(3) when y=7
I don't understand because if the derivative is 0, what would y'(3) be?
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