Mar 18, 2017 · How do you use the quotient rule to find the derivative of #y=tan(x)# ?

Jan 5, 2017 · What does #f(x)=y# mean? How do you write the total cost of oranges in function notation, if each orange cost $3? How do you rewrite #s=2t+6# in function notation?

Dec 8, 2011 · Assume that f is a differentiable function such that f(0)=f'(0)=0 and f''(0)>0. Argue that there exists a positive constant a>0 such that f(x)>0 for all x in the interval (0,a). Can …

The derivative of a function f(x) is written f'(x) and describes the rate of change of f(x). It is equal to slope of the line connecting (x,f(x)) and (x+h,f(x+h)) as h approaches 0. Evaluating f'(x) at …

Nov 28, 2017 · The value of F'(0) is 96. Consider: y = f(g(x)) Then by the chain rule the derivative is given by f'(g(x)) * g'(x). Thus the derivative of y = f(g(h(x)) will be ...

To evaluate the constant introduced through integration, it is necessary to know something about the function. Given the value of the integrated function at a point x, plugging in that value gives …

Feb 3, 2009 · If f(x_0)=c and c > 0 then the function must go up to atleast c, and since it is continuous it does not "jump" there. I was thinking of making a small partition of a,x_0, and b. I …

SOLUTION: Given f(x) = x2 + 3x – 5, find f(0). -5 Did I do this right. Can you show me the steps

Dec 4, 2016 · 6. (f @ g)(x) can be written as f(g(x)). The chain rule for derivatives deals with composite functions. It states that for f(g(x)), dy/dx = f'(g(x))g'(x) We now insert our given …

Apr 22, 2017 · Integrate twice and then use the boundary conditions to solve for the constants. Given: f''(x) = 4 + cos(x), f(0)=-1, and f((7pi)/2)=0 Integrate: f'(x) = intf''(x)dx = int4 + cos(x)dx …