Geometrical Applications of Calculus maths help! (1 Viewer)

[Mattlimey]

Q1. Find the domain over which the curve y = x^3 + 12x^2 + 45x - 30 is increasing
Q2. Find the exact value of f"(2) if f(x) = x root (3x-4).
Q.3 Find f"(1) if f(t)= t(2t - 1)^7.

I know its quite a few questions, but if you could answer just one that would be great. I need to answer all the questions i don't know how to do from previous chapters.

Thanks

 

[braintic]

Q1. Find the domain over which the curve y = x^3 + 12x^2 + 45x - 30 is increasing
Q2. Find the exact value of f"(2) if f(x) = x root (3x-4).
Q.3 Find f"(1) if f(t)= t(2t - 1)^7.

I know its quite a few questions, but if you could answer just one that would be great. I need to answer all the questions i don't know how to do from previous chapters.

Thanks

1. Differentiate, then solve the resulting quadratic for being greater than zero.
2. Differentiate using a combination of product and chain rules, do it again, then sub in 2.
3. Differentiate using a combination of product and chain rules, then sub in 1.