Question
Asked Nov 13, 2019
44 views

find the derivative of y=y^x

check_circle

Expert Answer

Step 1
help_outline

Image Transcriptionclose

Find the derivative of y y. That is, d 싫이옮어 d dx () Let u y In uxln y -( xln y) (Inu)= dx d(x) x In y dx dx 1 du и ф y dx x dy -=In y + y dx 1 du и фе

fullscreen
Step 2
help_outline

Image Transcriptionclose

On further simplification х фу =uln y+- y dx du d(y') х фу In y y dx dx d(у) х фу yn y y dx y*In y+ V® ¢y y d -= y*ln y+ yy dv one side. dx Collect

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Derivative

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Find the time required for an investment of $3000 to grow to $5000 at an interest rate of 7.5% per y...

A: According to the given information:Principal (P) = $3000Amount (A) = $5000Rate of interest = 7.5% pe...

question_answer

Q: Find the function F that satisfies the following differential equations and initial conditions. F''(...

A: Given that,(1) f\'\'(x)=cos x(2) f\'(0)=3(3)f(π)=5 Integrate equation 1;

question_answer

Q: Find the critical points and inflection points of f(x)=(x-4)^3

A: Critical points of a function f(x) are those points where the first derivative i.e f'(x) = 0Inflecti...

question_answer

Q: 3B please

A: Given a function

question_answer

Q: Let f (x) = x on [0, 5], and let P = (0, c, 5). Find two values of c in (0, 5) such that Uf (P) = 23...

A: Given that f(x) = x and P = (0, c, 5).

question_answer

Q: У Consider the plate bounded by y = r3 + x2 + 2, = 12-3, = -1 and x = 1 as shown on the right Set up...

A: Consider the given curves.

question_answer

Q: Screenshot_20191109-134432_Drive.jpg Photos Q2:- Prove that:- 2x a) sech(lnx) x2 1 II b) cosh(2x) = ...

A: We need the formula of sech x= 2/(e^x + e^-x)

question_answer

Q: Lake Tahoe lies on the California/ Nevada border, and its level is regulated by a 17-gate concrete d...

A: Refer to the question we need to find the relative maxima and relative minima of the level of lake o...

question_answer

Q: Can someone please show me the steps for solving this problem? The answer is 68 but I don't know how...

A: The given equation is