Solve e^xy Derivative at (ln.8, .5)

  • Thread starter Thread starter john.duke10
  • Start date Start date
  • Tags Tags
    Derivatives
Click For Summary
SUMMARY

The discussion centers on finding the derivative of the function e^(xy) at the point (ln(8), 0.5). Participants clarify the expression, emphasizing that e^(x*y) is the correct interpretation, as opposed to (e^x)*y. The derivative can be computed using implicit differentiation, leading to a definitive answer at the specified point.

PREREQUISITES
  • Understanding of implicit differentiation
  • Familiarity with exponential functions
  • Knowledge of calculus concepts such as derivatives
  • Ability to evaluate functions at specific points
NEXT STEPS
  • Study implicit differentiation techniques
  • Learn about exponential function properties
  • Practice evaluating derivatives at given points
  • Explore advanced calculus topics such as multivariable derivatives
USEFUL FOR

Students studying calculus, mathematics educators, and anyone interested in mastering derivative concepts related to exponential functions.

john.duke10
Messages
3
Reaction score
0

Homework Statement


e^xy=any number


Homework Equations



you are given a point say (ln.8, .5)
how would u find the derivative at that point?

The Attempt at a Solution

 
Physics news on Phys.org
That's not grammatical. (e^x)*y or e^(x*y)?? They aren't the same.
 

Similar threads

Apostol question about the differential equations of a falling object
  • · Replies 2 ·
Replies
2
Views
2K
Modeling epidemics - solving differential equation
  • · Replies 16 ·
Replies
16
Views
2K
Unraveling an ODE: Solving a First Order Equation with Separation of Variables
  • · Replies 5 ·
Replies
5
Views
1K
Calculating Area Under a Curve Using Change of Variables and Quotient Rule
  • · Replies 5 ·
Replies
5
Views
2K
Partial Derivative with Respect to y of a*cos(xy)-y*sin(xy)
  • · Replies 2 ·
Replies
2
Views
1K
Multivariable calculus problem
  • · Replies 5 ·
Replies
5
Views
2K
So the equation becomes u' + (1/x)u = x
  • · Replies 9 ·
Replies
9
Views
2K
How can we prove ##e^{ln x}= x## and ##e^-{ln(x+1)}= \frac 1 {x+1}##?
  • · Replies 5 ·
Replies
5
Views
1K
Multivariable calculus problem involving partial derivatives along a surface
  • · Replies 9 ·
Replies
9
Views
2K
Where is ##(z+1)Ln(z)## differentiable?
  • · Replies 5 ·
Replies
5
Views
2K