Find the x coordinate of the minimum point of the curve y = e3x - 6e2x + 32.
To find the minimum point of this curve you need to differentiate y and set it equal to zero before solving for x. If the questions does not say otherwise give your answer to 3 s.f. dy/dx = 3e^3x -12e^2x = 0 solving this for e^x gives : e^x =4 and you need to take the natural logarithm of both sides to find x. x=ln(4)
HW
Related Maths A Level answers
All answers ▸A curve C has the equation x^3 + 6xy + y^2 = 0. Find dy/dx in terms of x and y.
The curve C has equation: 2x^2y + 2x + 4y – cos (piy) = 17. Use implicit differentiation to find dy/dx in terms of x and y.
Find the two real roots of the equation x^4 -5=4x^2 Give the roots in an exact form.
Find the integral of xcosx(dx)