Homework Statement
It's not a specific problem. I am just having trouble understanding the right hand rule itself and it's application. What variables do you take into account when you are orienting your hand to get the direction. For example, I understand your fingers point in the...
so h(x)=cos4(x2+ex)
and g(x)= x2 + ex
but would the cos4 part be another function by itself? So then it would be f(g(h(x))).
and by definition of the chain rule it would be f '(g(h(x)))*g'(h(x))*h'(x)?
Homework Statement
The problem is to differentiate the function.
y=cos4(x2 + ex)
Homework Equations
cos(x)'= -sin(x), (xn)'=n*xn-1, (ex)'=ex*x'
The Attempt at a Solution
Thought it would be the chain rule. Here's what I came up with:
y'=4cos3(-sin(x2 + ex)(2x + ex)
Is this...
Homework Statement
Evaluate the following indefinite integral: (2t6-3)/t3 dt
The Attempt at a Solution
I know I need to substitute. Tried u= t3 and found du= 3t2dt. Tried to find where du would substitute in, but found...
Homework Statement
A 2.0 kg mass is placed on top of a vertical spring, which compresses to a new equilibrium position; the spring is then compressed from this new equilibrium position by a distance of 0.05 m. What will be the acceleration of the mass just after the spring is released from...