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Differentiate y = x(x+3)^4

To differentiate this function we use the product rule. In the product rule we, leave the first alone, differentiate the second, and leave the second alone, differentiate the first. ...

Answered by Harry H. • Maths tutor

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Integrate 1/((1-x^2)^(1/2)) by substitution

arcsin(x) + c

Answered by Tutor94163 D. • Maths tutor

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y' = (2x)/(y+1). Solve for y.

y' = dy/dx = (2x)/(y+1) Separate x's and y's in this case.

y + 1 dy = 2x dx Now integrate both sides.

(y²)/2 + y = (2x²)/ 2 + C Don't forget the constant.

Answered by Daniel M. • Maths tutor

3533 Views

Find the differential of (cos2x)^2

This is a question that can be answered in two ways: using the product rule and the rule for differentiating powers, we will do both to see how the two rules are equivalent. chain rule: split the function...

Answered by Hoagy C. • Maths tutor

5832 Views

How do you complete the square?

Completing the square is often useful when solving equations! An example: x²+6x-7=0. Step 1) We want to move the constant to the right hand side: x²+6x=7. Step 2) Now, add the squar...

Answered by Lisa W. • Maths tutor

3513 Views