Best solutions to - "Find the derivatives of the functions. g(x)=e−x+3e2x−1e−x+11" - Plainmath

necessaryh

Answered question

2021-05-05

Find the derivatives of the functions.

g (x) = e^{- x + 3} e^{2 x - 1} e^{- x + 11}

Answer & Explanation

firmablogF

Skilled2021-05-06Added 92 answers

The function we want to differentiate is

g (x) = e^{- x + 3} e^{2 x - 1} e^{- x + 11}

Apply the exponential property

e^{a} e^{b} = e^{a + b}

to get

g (x) = e^{- x + 3 + 2 x - 1 - x + 11} = e^{13}

Note that g(x) is a constant function, therefore

g^{'} (x) = 0

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Differential Calculus

What is the Mixed Derivative Theorem for mixed second-order partial derivatives? How can it help in calculating partial derivatives of second and higher orders?
How do I find the y-intercept of a parabola?
What are the vertices of $9 x^{2} + 16 y^{2} = 144$ ?
How to determine the rate of change of a function?
Why are the tangents for 90 and 270 degrees undefined?
How to find the center and radius of the circle $x^{2} + y^{2} - 6 x + 8 y = 0$ ?
What is multiplicative inverse of a number?
How to find the continuity of a function on a closed interval?
How do I find the tangent line of a function?
How to find vertical asymptotes using limits?
How to find the center and radius of the circle $x^{2} - 12 x + y^{2} + 4 y + 15 = 0$ ?
Let f be a function so that (below). Which must be true?
I. f is continuous at x=2
II. f is differentiable at x=2
III. The derivative of f is continuous at x=2
(A) I (B) II (C) I and II (D) I and III (E) II and III
How to find the center and radius of the circle given $x^{2} + y^{2} + 8 x - 6 y = 0$ ?
How to find the center and radius of the circle $x^{2} + y^{2} + 4 x - 8 y + 4 = 0$ ?
How to identify the center and radius of the circle ${(x + 3)}^{2} + {(y - 8)}^{2} = 16$ ?

Didn't find what you were looking for?