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Find the derivative of f(x)=exp((tanx)^(1/2))

We use the chain rule. Let u(x)=exp(x), v(x)=x^1/2, w(x) = tan(x).
Then f(x) = u(v(w(x))). So by the chain rule, f'(x) = u'(v(w(x)))*(v(w(x)))'.
u'(x) = exp(x).
By the chain rule...

Answered by Luke D. • Maths tutor

4135 Views

How are proteins synthesised?

Proteins are coded for by genes (a sequence of DNA that codes for a specific polypeptide), in the nucleus the DNA is unwound by an enzyme and then another enzyme with copy the template strand to make a mo...

Answered by Billy R. • Biology tutor

2926 Views

The price of coffee beans rose from $1.15 to $1.40 between June and August 2017. A possible cause of this rise is: a) Improved weather conditions in coffee-growing countries; b) An increase in national minimum wage in coffee growing countries.

The correct answer is b).The price mechanism is defined as the interaction between supply and demand for a good, which determines price such that quantities supplied and demanded are equal.An increase in ...

Answered by Geoffrey S. • Economics tutor

2237 Views

Acid HA has a Ka of 2.00 x 10-4mol dm-3. A solution was made by adding 15cm3 of 0.34 M NaOH to 25cm3 of 0.45M HA. Calculate the moles and the concentration of A- and HA in this solution. Using the expression for Ka calculate the pH of the solution

Write the equation: NaOH + HA --> NaA + H₂O. Find the moles of A^-: the moles of A^-= the moles of NaO...

Answered by Hibba S. • Chemistry tutor

6994 Views

How would you calculate the vertical and horizontal components of the velocity of an object with an initial velocity of 15m/s which is travelling upwards at an angle of 30 degrees to the horizontal?

With these sort of questions involving components, I would always advise drawing a diagram of the problem so that you're clear of the situation!In this case we have an object that is travelling at a speed...

Answered by Joseph P. • Physics tutor

6678 Views