Recent content by Mary4ever

Differentiating the function you wrote would get: y'(x)=12x^3-28x Is this correct? Please help

I am really confused now, what is the correct answer then?

ok so is this a correct final answer now: y'(x)=4x(3x^2-7) ??

Is this correct: y = (((7-3x^2)^2))^ (1/3) dy/dx = (1/3) (((7-3x^2)^2))^ (-2/3) (2(7-3x^2)(-6x)) = (24/9)(7x - 3x^3) / ∛((7-3x^2)^4)

Thank you for you reply. So what would be the correct way to write it so I do not lose marks for it?

I really need to know if it is correct, could you please let me know if it is?

Homework Statement Differentiate: Homework Equations y=∛((7-3x^2)^2) The Attempt at a Solution y^'(x)=(4x(3x^2-7))/(∛((7-3x^2 )^2))^2 )

Could you please double-check it because I need to make sure everything is correct? Thank you!

Homework Statement Sketch the graphs of the functions. Indicate intervals on which the function is increasing, decreasing, concave up, or concave down; indicate relative maximum points, relative minimum points, points of inflection, horizontal asympototes, vertical asymptotes, symmetry, and...

For relative maxima and minima, f'(x) = 0 gives e^x = e^{-x}, which happens when x=0, only. f''(0) =f(0) = 1 and so x=0 is a minimum. It is also an absolute minimum, because f is increasing for x>0 and decreasing for x<0. f''(x) > 0 for all x and so concave up everywhere, no points of...

Homework Statement Sketch the graphs of the functions. Indicate intervals on which the function is increasing, decreasing, concave up, or concave down; indicate relative maximum points, relative minimum points, points of inflection, horizontal asymptotes, vertical asymptotes, symmetry, and...