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Differentiate 5x^2+5y^2-6xy=13 to find dy/dx

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 this ...
HS
Answered by Henry S. • Maths tutor
6835 Views

Find the coordinates of the minimum or maximum of the function f(x) = 3x^2 -2x +9 and determine if it's a minimum or maximum.

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) to g...
LB
Answered by Lilla B. • Maths tutor
1953 Views

Describe the role of tRNA in the production of a protein

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 with the codon on mRNA via compl...
MW
Answered by Megan W. • Biology tutor
10069 Views

Find Dy/Dx of (x^2+4x)^3

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. do the you di...
SO
Answered by Sam O. • Maths tutor
4146 Views

Lily goes on a car journey. For the first 30 min. her average speed is 40 mph. She then stops for 15 min. She then completes the journey at an average speed of 60 mph. The total journey time is 1 h. What is her overall average speed?

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 =20 milesFor the secon...
SJ
8840 Views