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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
3629 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
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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
4751 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
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The line L1 has vector equation,  L1 = (  6, 1 ,-1  ) + λ ( 2, 1, 0). The line L2 passes through the points (2, 3, −1) and (4, −1, 1). i) find vector equation of L2 ii)show L2 and L1 are perpendicular.

i)L(r) vector line equations in general are in the form L(r) = p1 + λ (p2) where p1 is any ponit on the line and p2 is the vector direction of the line(unsure how to get the whiteboard up or i would describe...
CE
Answered by Charles E. • Maths tutor
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