Question
Problem 2
Find dy/dx of y = x* at the point (2,4) by following a similar procedure:
1. Apply In() to both sides of the equation
2. Find y' at (2, 4) by taking the derivative of the equation obtained in step 1, using implicit
differentiation
Expand
Transcribed Image Text

Problem 2 Find dy/dx of y = x* at the point (2,4) by following a similar procedure: 1. Apply In() to both sides of the equation 2. Find y' at (2, 4) by taking the derivative of the equation obtained in step 1, using implicit differentiation

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Derivative

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Evaluate the indefinite integral 1 sec (x) tan(x) dx +C

A: Given,

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: Given,

Q: Find a rectangular-coordinate equation for the curve by eliminating the parameter. x = sin2(t), y = ...

A: Given parametric equation is

Q: Please answer and clearly explain part b and c. thank you

A: As per the instruction, we are solving part (b) and (c) of the question.According to the information...

Q: This exercise involves local maxima and minima of polynomial functions. A graphing calculator is rec...

A: Given, function is

Q: Analytically, what is the slsmt symptote of the following function. Please shoiws alll math.

A: Given function is

Q: see attachment

A: Simplify the argument to find the exact value 

Q: Find the limit.

A: Given,

Q: I'm studying for a precalculus exam and I want help on this problem because I am stuck.

A: Given that,

Q: Can you help with this problem step by step?

A: Given function is

Q: if x1 Let f(x) mx b if x > 1 Find the values of m and 6 that make f(x) differentiable. т

A: Given :

Q: (a) How long will it take an investment to double in value if the interest rate is 3% compounded con...

A: Future value of invested amount A(0) at any time t, A(t) = A(0)ert where r is the interest rate comp...

Q: 9. A sample of tritium-3 decayed to 94.5% of its original amount after a year (a) What is the half-l...

A: Consider N (t) is the amount of tritium-3 relative to the original amount, then general form is,

Q: indefinite integral of x7/8 dx

A: Given integral is 

Q: Find a formula for n in terms of m where: n is a length in feet and m is the length in inches.Note t...

A: We have to find a formula for n in terms of m where n is a length in feet and m is the length in inc...

Q: How are the directional derivative and partial derivative related (more information in the image)

A: The correct answer is the first option i.e. option A.

Q: I am confused about parts C and D.

A: Given:Three-digit numbers:

Q: F(x)=4+54x-2x^3 , [0,4]  what are the absolute minimum value and absolute maximum values?

A: Given function

Q: Find all the stationary points of the function f(x,y) = x3e-(x^2+y^2).

A: Given:

Q: Differentiate. y = (4-sec x)/tan x

A: Distribute tan x.1/tanx= cot x and secx/tanx= cscx

Q: The operating cost to an airline for having a flight between its west-coast and east-coast hubs chan...

A: Click to see the answer

Q: A. Find K given that K-1, 13, and 3k+3 are consecutive terms of an arithmetic sequence.  B. Write do...

A: Given that K-1, 13, and 3k+3 are consecutive terms of an arithmetic sequence.

Q: Find the direction f(x,y) increases and decreases most rapidly at point P and find the derivatives o...

A: Consider the given function.

Q: I am studying for a precalculus exam and I am stuck on this problem and would like help.    Question...

A: Given equation is

Q: Between 2000 and 2010, the Phillips curve for the U.S. unemployment rate u and the Consumer Price In...

A: Differentiate I with respect to u 

Q: Calculus Question

A: Given,

Q: Find the absolute maximum and absolute minimum values of f on the given interval F(x) = xex2/98 [-3,...

A: Given function is 

Q: 3.75 divided by ( 1- 1.00375) -36  negative exponent -36

A: Given,

Q: Find the partial derivatives, fx and fy, for f(x, y) = 8x^2 − 6xy^2 + 3y + 21.

A: Given: -

Q: Find the derivative F(x)=x^3(x4/3 -1)

A: Please see the white board.Recall the famous rule of differentiation: d(xn) / dx = nxn-1

Q: 4. Assuming the limit exists, explain what ∞0 means and explain why an ∞0 limit could be anything be...

A: To discuss indeterminates and limits.

Q: 7. According to a simplified economic model, the purchasing power of 1 dollar in the 2000t is equal ...

A: 2000+t=2020So, 20 years.

Q: Consider the sequence 4, 11, 18, 25, 32, .... a. Is 340 a member of the sequence? b. Is 738 a member...

A: It can be observed that the given sequence has a constant difference of 7 between the successive ter...

Q: Change from rectangular to spherical coordinates. (Let p 2 0, 0 < 0 < 2n, and 0 s p n.) (0, 2 3, 2) ...

A: Formula for the converting rectangular coordinates to spherical coordinates.

Q: The base of the ladder in the figure is a = 5 ft from the building, and the angle formed by the ladd...

A: Given,

Q: Can you help with this problem step by step?

A: Given: -

Q: Consider the following.x = sin(t)y = csc(t)0 &lt; t &lt; π/2(a) Eliminate the parameter to find a Ca...

A: It is given that,

Q: Evaluate h'(6) where h(x) f(x) g(x) given the following. f(6) 5 f'(6)2.5 g(6) 2 g'(6) 1 h'(x)

A: The function h(x) is given by,

Q: Systems of Linear Equations and Matrices 292 CHAPTER 6 6.3 Exercises of Use systems of equations to ...

A: You have asked two questions in a single post. I will address the first one. Please post the other q...

Q: Consider the sequence 67, 63, 59, 55...... a. show that the sequence is arithmetic. b. find a formul...

A: Consider the given series:

Q: What are the coordinates used to evaluate the following problem and how are they found?

A: Given that D is a region that lies below the sphere and above a cone.