d/dx(e^u)
e^u(u’)
Using the chain rule of differentiation, we have:
d/dx(e^u) = d/dx(e^(u(x))) = d/du(e^u) * du/dx
Since u is a function of x, we need to apply the chain rule to evaluate du/dx:
du/dx = d/dx(u(x))
Putting this all together, we get:
d/dx(e^u) = d/du(e^u) * d/dx(u(x)) = e^u * du/dx
Therefore, the derivative of e^u with respect to x is e^u times the derivative of u with respect to x.
More Answers:
The Constant Function: Properties, Graph, Derivative And Integral.The Parabolic Function F(X)=X^2: Graphing, Roots, And Symmetry
How To Differentiate A Function Of The Form A^U With The Chain Rule Of Differentiation
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded