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differentiate y=e^2x

y=e^x When we derive, the power is brought down to the front - e.g. 2e^2x. Once this has been reached, you must normally remember to reduce the power by 1. However, with the exponentials, the power remains t...
JJ
Answered by Jamie J. • Maths tutor
18355 Views

Find the set of values for x for which x^2 - 9x <= 36

Rearrange to get x^2 - 9x - 36 &lt;= 0 Solve quadratic (x-12)(x+3) &lt;= 0 Solve for x x = 12, x = -3 Now, we have key points 12 and -3, we need the range of values for x where x^2 - 9x - 36 &lt;= 0. So, we ...
DD
Answered by Daniel D. • Maths tutor
11483 Views

I think German grammar is kind of overwhelming - there are so many different rules to take into account in order to form a proper, correct sentence. How should I approach this problem?

I understand this feeling, as German is, compared to English, very complex. However, we will start building up your knowledge like a house. We will start with the basics - e.g., conjugation - and won't proce...
KW
Answered by Kristina W. • German tutor
1690 Views

Why does d/dx (tan(x)) = sec^2(x)?

This result comes from using a trig identity and the quotient rule. First, we write tan(x) as sin(x)/cos(x). Then we apply the quotient rule. After doing the standard derivatives, the numerator of our fracti...
TD
Answered by Tutor42661 D. • Maths tutor
12534 Views

What are some tips for succeeding in the listening part of the exam?

As with any language, practising is the most important part. However, quickly scanning the questions and then write down or make a note of the key words that you have to pay attention to. For example, if one...
AC
Answered by Alice C. • Mandarin tutor
2004 Views