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How do I differentiate 4x^3 + 2x + x^4 with respect to x?

With differentiation and integration, we can take each term separately. In general, to difference a term involving x's with respect to x, you first multiply the power of x by the coefficient of x to find the...
LT
Answered by Laura T. • Maths tutor
3908 Views

When I try to integrate by parts, I end up in an infinite loop. Why is this, and how do you stop?

This could be happening for two reasons. Firstly, the negative form of the expression that you are being asked to integrate could be appearing in your answer, after you've used the 'integrating by parts' met...
TS
Answered by Tommy S. • Maths tutor
7761 Views

How do you differentiate?

for example 3x 2 +2x+1 differentiated? ax n differentiates to (an)x n-1 therefore 3x 2 goes to 6x 2x goes to 2 and 1 goes to 0 so the final answer is = 6x + 2
KB
Answered by Kate B. • Maths tutor
3650 Views

Integrate ((5x^3) + ((2x)^-1) + (e^2x))dx.

int(5x 3 + (2x) -1 + e 2x )dx =int(5x 3 )dx + int((2x) -1 )dx + int(e 2x )dx int(5x 3 )dx = (5/4)x 4 + c where c is the constant of integration int(2x -1 )dx = (1/2)ln(2x) + d where d is another constant of ...
DL
Answered by Danny L. • Maths tutor
5117 Views

How would you derive y = function of x; for example: y = 3x^3 + x^2 + x

The best way to remember derivatives is to use algebra, and the general function is y = ax n -> dy/dx = anx n-1 So for this equation dy/dx = (3x3)x 3-1 + (2x1)x 2-1 + 1x 1-1 So the answer would be dy/dx =...
GA
Answered by George A. • Maths tutor
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