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Maths
GCSE

Differentiate (x^2)*(e^x) using product rule

Product rule: d/dx[f(x)g(x)]= f(x)d/dx[g(x)] + g(x)d/dx[f(x)]Let f(x)=x^2 and g(x)=e^xf'(x) = 2x and g'(x) = e^x Therefore,The derivative of (x^2)(e^x) = 2x(e^x) +(x^2)(e^x)

JB
Answered by John B. Maths tutor
2655 Views

What is the size of the exterior and interior angle of a regular 13 sided polygon?

First of all select one vertex on the polygon and draw straight lines from the selected vertex to every other vertex on the polygon. In doing so this should divide the shape into 11 triangles. Using the k...

SH
Answered by Scott H. Maths tutor
23247 Views

Solve x^2 + 5x – 24 = 0

Being a quadratic equation in the following form,the simplest way to solve would be through the quadratic formula which goes as follows:
The first step to solving is therefore to identify a, b, c, wi...

MK
Answered by Mohammed K. Maths tutor
4651 Views

A boat travels due North at 5km/h for 3 hours, then changes course and sails due east for 2 hours, adjusting his speed to 8km/h. What is his total displacement from his original position?

  1. Begin by setting up the problem with a diagram. Yu should draw a right angled triangle, with currently unknown lengths.2) Calculate the distance travelled for the two parts of the journey. Use Dista...
EC
Answered by Emma C. Maths tutor
2682 Views

Draw the graph for y = x^2 + 4x +2

This is a quadratic equation. So we know the shape will look something like this:
(draw 'smiley face' shape. Plot some points showing for x=2, y = 4. For x =3, y =9. Show symmetry: a negative number ...

LO
Answered by Laura O. Maths tutor
4540 Views

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