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For y=x/(x+4)^0.5, solve dy/dx

As x is present as both numerator and denominator (top & bottom), we're going to use the quotient rule to solve this. The quotient rule is as follows:For y=f(x)/g(x), dy/dx=(f'(x).g(x)-f(x).g'(x))/((g(x)...
TM
Answered by Thomas M. • Maths tutor
3554 Views

Find the equation of the line tangential to the function f(x) = x^2+ 1/ (x+3) + 1/(x^4) at x =2

Differentiate the function to find the gradient at any point: df/dx = 2x - 1/(x+3)^2 - 4/(x^5)insert the value of 2 into f(x) and df/dx --> df/dx = 3.835, f(2) = 4.2625create the equation of the line by y...
EF
Answered by Elliot F. • Maths tutor
3414 Views

What are the two roots for the equation x^2 + 7x + 10 = 0

Start by looking for multiples of 10. You have the pairs 2 & 5 and 1 & 10. Both signs are positive in the original equation so it will either be positive 2 & 5 or positive 1 & 10. Clearly 2+5...
ER
Answered by Edward R. • Maths tutor
3434 Views

Lorem ipsum dolor sit amet

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ...
GC
Answered by Georgia C. • Maths tutor
4689 Views

Differentiaate the folowing equation with respect to x: y=4x^3-3x^2+9x+2

12x^2-6x+9
FE
Answered by Finn E. • Maths tutor
3834 Views