Calculus Question. Help?

[Over9000]

That upside down A makes it look complicated
:O

Its actually called turn A http://myanimelist.net/anime/95/Turn_A_Gundam, ∀ Gundam
Kamil is trying to show that turn a gundam times x is an element of R.

Jks, it means for all values of x ,∀x

[QuantumJG]

1. a. Use calculus to show that the curve with the equation y=2x^3+5x-7 has a positive gradient for all real values of x.
   


Where would you start with this?



b. What is it's minimum gradient and at what point does this occur?

a)

Firstly the gradient of this function is simply:



So this question is asking you to prove that:

i.e.

you could say that:





QED (or as mean't to be shown)

b) Minimum gradient occurs when:



therefore the minimum gradient occurs when x = 0

[Over9000]

1. a. Use calculus to show that the curve with the equation y=2x^3+5x-7 has a positive gradient for all real values of x.
    


Where would you start with this?



b. What is it's minimum gradient and at what point does this occur?

a)

Firstly the gradient of this function is simply:



So this question is asking you to prove that:

i.e.

you could say that:





QED (or as mean't to be shown)

b) Minimum gradient occurs when:



therefore the minimum gradient occurs when x = 0

You mean since x could = 0.