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This is an example of implicit differentiation, where the function in question involves two variables (x and y) and it is hard to rearrange to create a neat "y=..." equation. To differentiate th...

To find the minimum or maximum we need to find a point on the function where its slope is zero. So, we differentiate f(x) and set it equal to zero: f'(x)=0, f'(x) = 6x -2 = 0, x=1/3 Substitute into f(x) t...

tRNA molecules transport a specific amino acid to a ribosome for translation of mRNA. A tRNA molecule carries an anti-codon (at the opposite end of the amino acid) that pairs wi...

So here we need to use the chain rule in order to differentiate the equation. To start you take the function inside the bracket x^{2}+4x and differentiate it to Du/Dx= 2x + 4 this is known as u. ...

average speed=total distance/time taken ; distance=speed x timeFor the first part of her motion the distance she travelled, d_{1}=40 x 1/2 (as 30 minutes represent half an hour), so d_{1}=...