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How do you differentiate parametric equations?

Parametric equations are a set of equations which both depend on the same variable, such as t. An example of this would be: x = 2t 2 ​+1 and y = t ​4 ​-2 As the value of t changes the equations will give you...
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Answered by Tim W. • Maths tutor
6608 Views

How do you go about differentiating a^x functions?

A key point to remember here is that a^x could mean the base (a) is not “e”-that special number which has a gradient function, dy/dx (the differential), EQUAL to the function itself, y=e^x. When "a&quot...
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Answered by Adam W. • Maths tutor
83114 Views

How do I differentiate 3^2x?

By recalling that e ln(a) = a, you can rewrite 3 2x as e 2xln(3) . Then, you can differentiate this like any other e function, by using the product rule. d/dx (e 2xln(3) ) = e 2xln(3) x d/dx (2xln(3)) d/dx (...
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Answered by Luis D. • Maths tutor
26544 Views

How do you find the area between two lines?

First, find the x coordinates of where the lines intersect by setting the equations of the lines equal to each other. Then solve the quadratic (or polynomial) equation. Next, integrate both lines individuall...
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Answered by Rory P. • Maths tutor
12419 Views

The probability function of a discrete random variable X is given by p(x)=x^2 x =1,2,3. Find E(X)

The expectation of x, E(X), is the sum of the product of the value of the i th outcome (x i ) and the probability of the i th outcome (p i ). So: E(X)=1+(4 2)+(9 3)=36
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Answered by Tanush M. • Maths tutor
3934 Views