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Differentiate a^x

Set y=a^x2. Take the natural log of both sides: ln(y)=ln(a^x)3. Using the log rules, simplify: ln(y)=xln(a)4. Differentiate both sides with respect to x: 1/y dy/dx=lna+05. Rearrange: dy/dx=yln(a)6. Using the...
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Answered by Hafsah K. • Maths tutor
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Explain what is meant by resonance.

Resonance occurs when a driving frequency is similar to the natural frequency of the system. The system is forced to vibrate at its natural frequency and therefore absorbs maximum energy, which means that th...
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Answered by Hafsah K. • Physics tutor
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Solve 13+4x=7-4x

Collect like terms on one side: 4x+4x=7-132. Simplify: 8x=-63. Divide to find the solution for x: x=-6/84. Simplify again for the answer: x=-3/4
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Answered by Hafsah K. • Maths tutor
5876 Views

What is a "PEE" chain?

You begin with the "P" which is "Point" and here you make a statement. For example, "Cats are the best household pets for young families". Then, the first "E" is evide...
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Answered by Katy A. • English tutor
29230 Views

What makes a good English Literature essay?

Essay writing is never easy to get right, so here are several points (in my mind indispensible) to help you sail over those grade boundaries! 1) READ THE QUESTION CAREFULLY It is very, very important that yo...
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