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To find the maximum/minimum of a curve you must first differentiate the function and then equate it to zero. This gives you one coordinate. To find the other you must resubstitute the one already found into ...

To differentiate y=(x 2 +4x) 5 you need to use the chain rule. The chain rule uses the fact that dy/dx = dy/dt * dt/dx. Here we create a new variable t, where t = x 2 +4x. Substituting this in the original e...

3(3/4)x^(-1/4) which simplifies to (9/4)x^(-1/4)

Note: for what’s about to come, ' denotes derivative with respect to x. Method 1 (integration by parts): let I = (e^x)sin(x) dx let u = sin(x), u' = cos(x) and v' = e^x = v then integrate by parts, => I =...

Assuming you know the equation of the line, this could possibly be done in several ways. If you are able to integrate the equation of the line definitely using your current knowledge, then do this between th...