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y = e^(e^x). Show that the curve has no maxima or minima for any real number.

dy/dx = (e^x)*(e^(e^x)) which is never equal to zero so it does not have any maximum or minimum.

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Ms Henderson has two jars of sweets. The jars contain the same number of sweets in total. 25% of the sweets in Jar A are mint. Two fifths of the sweets in Jar B are mint. There are 10 mint sweets in Jar A, how many mint sweets are there in Jar B?

For this question we should be familiar with percentages and their equivalents in fraction. Since they have the same number of sweets, we calculate first the total number of sweets there is in the jars an...

Answered by Pablo M. • Maths tutor

2961 Views

Differentiate with respect to x. y(x) = e^(7x^2)

dy/dx = 14xe^(7x^2)

Answered by Pablo M. • Maths tutor

3011 Views

integrate( x^3+4x^2+3)dx

=(x^4)/4+(4x^3)/3 + 3x + c

Answered by Rory H. • Maths tutor

3439 Views

Solve the simultaneous equations using the substitution method. 2y+x=8 and 1+y=2x.

First point out that it makes sense to solve this system of equations using the substitution method because one of the variables can easily be isolated without multiplication or division.(Step 1:) Label t...

Answered by Chris M. • Maths tutor

3317 Views