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How do I plot a line on a graph, given the equation y=2x+1 ?

A simple way to do this is to use substitution. You can pick values for x such as x=0,1,2 and find the values for y. When you have two or more coordinates you can plot the line. In this case you could find c...
HP
Answered by Hannah P. Maths tutor
6367 Views

Given that: y = 5x^3 + 7x + 3. What is dy/dx? What is d^2y/dx^2?

Firslty, the common rule when differentiating is nx m has the derivative of (n)(m)x m-1 . Therefore applying this rule to each individual component of the function: dy/dx=(5)(3)x 3-1 +(7)(1)x 1-1 +(3)(0) =(1...
ME
Answered by Monty E. Maths tutor
7272 Views

Differentiate y=x/sin(x)

This equation has one function of x divided by another function of x, we therefore have to use the quotient rule and is written in the form f(x)/g(x). The quotient rule is therefore f'(x)g(x)-g'(x)f(x)/g 2 (...
RF
Answered by Rowan F. Maths tutor
25605 Views

What is the integral of ln(x)? Hint: use parts for this integration

We use parts for this integration even though there is only one term! make ln(x)=1ln(x) How to do integration by parts If you have a function that you need to integrate that is two functions of x multiplied ...
JW
Answered by Joseph W. Maths tutor
7832 Views

Find dy/dx where y=e^(4xtanx)

Here, we must apply both chain and product rules. The chain rule can be used to find the derivative of a function in the form e f(x) , like this one. However it is useful to know that this will result in the...
MK
Answered by Monique K. Maths tutor
8442 Views