185 Answered Questions for the topic Differentiation
02/19/15
Derivatives of ex and ln x
An example in my textbook goes as follows:
f(x)=ln e3x = 3x
f'(x) = 3
I understand that the derivative of 3x is 3, that the derivative of ex is ex, ,and that the derivative of ln x is 1...
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Differentiation Calculus
02/04/15
Calculus Question (urgent help needed)
A small piece of string that measures 20cm in length is cut into two pieces. The first is made into a circle with radius 'r ' in (cm) and the second a square with side length 's' in (cm).
Write...
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01/26/15
Derivative
Find the derivative of f(x) = x2e–x
I've managed some of the question but am having trouble finishing it. Can someone please explain?
01/25/15
Derivative
Find the derivative of f(x)=xsquared(2x-3)to power of 4
sorry i couldn't write the powers out on my phone. Can someone please explain the question?
Differentiation
01/18/15
differentiate the equation Y= 3X4 (X2 +2)
differentiate the equation. and show workings
Y= 3X4 (X2 +2)
01/01/15
Differentials: Maximums and Minimums
So I'm reviewing some real-life examples of Max and Mins in differential Calculus and I'm met with an example that says that the perimeter of a square restricts the domain to (0,1). I'm not sure I...
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12/22/14
Differential Calculus
I asked a question earlier about open and closed intervals, so why did my teacher say this was wrong?
Determine any values of c in the interval [0,2pi] for which f'(x) = 0.
f(x) = cos...
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Differentiation
11/11/14
A rock dropped into a pond causes a circular wave of ripples whose radius increases at 6 inches per second.
A rock dropped into a pond causes a circular wave of ripples whose radius increases at 6 inches per second. How fast is the area of the circle of ripples expanding at the instant that the radius of...
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11/05/14
how do I solve for x in the equation: 2/3 = ln2x
please show working and also explain why you do it how you do it. Thanks! :)
10/15/14
proving f'(x)/f(x)= 1/(x-a)
I couldn't understand and sole this question. please help
Define f(x):= (x-a1)(x-a2)(x-a3)... (x-at), where an are constants, 1≤n≤t , where t is some finite natural number. Show that...
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Differentiation
10/15/14
How many trees should be planted on an acre in order to get the highest yield?
An apple farm yields an average of 30 bushels of apples per tree when 20 trees are planted on an acre of ground. Each time 1 more tree is planted per acre, the yield decreases by 1 bushel (bu) per...
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10/05/14
Differentiation - Show steps!
Suppose y is defind implicitly as a function of x by the following equations, where g is a given differentiable function of one variable. Find an expression for y'.
a. xy=g(x)+y3
Ans: y' =...
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Differentiation
09/25/14
Find the equation of the tanget to the curve y=x^2 which is parallel to the line y=x.
A simple question which includes differentiation,but it got me stuck...
09/23/14
Differentiation
A curve has the equation y=3e2x.
Find the value of d2y/dx2 at the point where the gradient is 3.
Ans:6
Thank You! :)
Differentiation
The number of crimes, C, in a particular country between 2000 and 2010 was given by the function C=11.9+ 0.1t + ln(t+1), where t is the number of years passed since 2000. Show that C is an...
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09/22/14
Differentiation
Differentiate the following with respect to x.
cos(x+π)/sin3x
Ans: [sin(x+π)sin3x +3cos(x+π)cos3x]/ sin23x
Thank you! :)
09/22/14
differentiation
The function f is defines by f(x)=sinx + cosx , for 0≤x≤2π.
Find (i) The range of values of x for which f(x) is increasing
(ii) The range of values of x for which f(x) is...
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09/22/14
Differentiation
Two variables x and y are related by y= ln(2+e-x) for x >0. Given that x is increasing at a rate of 3 units per second, find, in terms of e, the rate of change of y when x=1.
Ans:...
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09/22/14
Differentiation
Differentiate with respect to x.
ln[ (x+3)3 cos3x / sin x ]
Thank You ! :)
Ans : 3/(x+2) -3tan3x -cotx
09/22/14
Differentiation
Differentiate with respect to x. ln ((√x2 +1) -x) .
Thank you! :)
Ans: -1/(√x2+1)
08/25/14
How do I find a second derivative?
What is the second derivative for the function y=e^(6-x^2) ? Please show workings.
Differentiation Matlab
06/27/14
I need to calculate derivative of a function whose parameters are functions of other parameters using MATLAB or Maple
I'm doing some mathematical calculation of some symbolic math that includes multiplication and differentiation of some matrices.Some of the parameters in my calculations are functions of time. for...
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04/24/14
Differentiation Rules for Exponential Functions
how do you find the second derivative of y=e-x^2
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