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Fnd ∫x^2e^x

Intergration by parts (IBP). - This accours every time you have a mulitplication in an intergral. This quesion wants you to find the area under the graph x 2 e x . For any intergration by parts question simp...
RB
Answered by Rachel B. • Maths tutor
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Differentiate 2x/cos(x)

Given that you have a fraction in the question, you are clearly asked to use the quotient rule. In order to do this, you should label the numerator u, and the denominator v, like this: u = 2x v=cos(x). Now, ...
JS
Answered by James S. • Maths tutor
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Using transformation rules and your knowledge of trigonometric functions, draw the graph y=2sin(2x)

would use paper to show the student the final answer Your answer will be based around the graph of y=sin(x), which has a y maximum of 1 and minimum of -1, and one full cycle is completed by 2 pi. First y=2si...
VM
Answered by Victoria M. • Maths tutor
6450 Views

Differentiate the following equation: y = 2(x^3) - 6x

Firstly we look at the term 2(x^3). The power of x (in this case 3) is multiplied by the factor of x (in this case 2) and the power is then reduced by 1. This means it is 2x3(x^{3-1}) which simplifies to 6(x...
AW
Answered by Anna W. • Maths tutor
4083 Views

y = 3x^2 + 2x^(1/2) - 12 Find dy/dx

Firstly we divide up the equations into its three compenents based on the powers of the x values, giving us 3x^2, 2x^(1/2) and -12. Now one at a time, we multiply the coefficient by the power of x, and then ...
SR
Answered by Sam R. • Maths tutor
6212 Views