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find the value of dy/dx at the point (1,1) of the equation e^(2x)ln(y)=x+y-2

find dy/dx, algebraically manipulate the expression to get dy/dx in terms of x and y and then subsitute in the given point.
JG
Answered by James G. • Maths tutor
8609 Views

Given that x=ln(t) and y=4t^3,a) find an expression for dy/dx, b)and the value of t when d2y/dx2 =0.48. Give your answer to 2 decimal place.

a) Firstly, differentiate x and y with respect to t. Giving you dx/dt = 1/t and dy/dt = 12t 2 dy/dx is found using the chain rule: dy/dx = dy/dt x dt/dx = 12t 3 b) You will need to differentiate dy/dx again ...
SW
Answered by Sara W. • Maths tutor
3903 Views

solve the inequality 5x + 3> 3x - 6

5x +3 > 3x -6 2x +3 > -6 (-3x from both sides) 2x > -9 (-3 from both sides) x > -4.5 (divide by two on both sides)
AL
Answered by Anna L. • Maths tutor
5337 Views

Calculate the gradient of the function y=x^2+6x when y=-9

-9=x^2+6x 0=x^2+6x+9 0=(x+3)(x+3) when y=-9 x=3 dy/dx=2x+6 dy/dx=2(3)+6=12
HM
Answered by Hassan M. • Maths tutor
5586 Views

Solve the following equation; 8x-2 > 4x +6

First of all we need to get all of the x's on one side and all the numbers on the other side. Therefore to do this firstly we should add 2 to both sides. 8x > 4x +8 Secondly we need to -4x from both sides...
RD
Answered by Rory D. • Maths tutor
5622 Views