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Differentiate: y = 2 ^ x

y = 2 ^ x take ln of both sides ln( y) = ln (2 ^ x) using the log rules we can bring the power of x down in front of the ln ln( y ) = x*ln(2) differentiate both sides wrt x ( 1 / y ) * dy / dx = ln(2) dy / d...
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Answered by Shantu H. • Maths tutor
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Use the concept of electronegativity to justify why the acid strengths of ethanedioic acid and ethanoic acid are different.

This is a long answer (6 mark) question, which means you need to demonstrate your written communication of scientific ideas. The first thing I would do in a question is identify the key words. Firstly, elect...
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Answered by Olivia S. • Chemistry tutor
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Solve the following simultaneous equations: x^2-y^2=9, x - y = 1

We first notice we have a linear and non linear equation. The simplest method to solve is to substitute the linear equation into the non linear equation and then solve for one of the unknowns. Then substitut...
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Answered by Shantu H. • Maths tutor
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Derive an expression for the time taken, (t) for a test mass to fall to the ground from a height (h) in a uniform gravitational field (g = 9.81 ms^-2)

We first build an intuition for exactly what acceleration is and what we expect to happen. In the uniform gravitational field approximation, we assume h to be much less than the radius of the Earth. Therefor...
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Answered by Charlie B. • Physics tutor
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How do you know whether to use the preterite tense or the imperfect tense?

That is a very good question, as both describe actions of the past. We use the preterite tense when we talk about actions which are seen as being completed in the past, notably one-off events. For example, y...
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Answered by Zoe S. • Spanish tutor
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