For the composite function, identify an inside function and an outside function and write the derivative with respect to x of the composite function. (The function is of the form fx) g(h(x)). Use non-identity functions for g(h) and h(x).) f(x) 9(3x22)5 9x5,3x22 } {g(h), h(x) X 270x(3224 f'(x)=

For the composite function, identify an inside function and an outside function and write the derivative with respect to x of the composite function. (The function is of the form fx) g(h(x)). Use non-identity functions for g(h) and h(x).) f(x) 9(3x22)5 9x5,3x22 } {g(h), h(x) X 270x(3224 f'(x)=

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?

See similar textbooks

Related questions

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: Differentiate. y = (4-sec x)/tan x

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

Q: One solution of the differential equation y" +y' = O is y = e. Use Reduction of Order to find a seco...

Q: Graphs A and B are approximate graphs of f and f' for f(x) x28x - 10 So f is decreasing (and f is ne...

A: Let us find the interval in which f is decreasing:

Q: 1. Find the following limits. e3r lim 3.x е (a) (b) lim e3/(2-a) lim In(1x2 - In(1 x (c) _ (d) lim l...

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: see attachment

A: The polar coordinates are,

Q: find the absolute extrema for f(x) = x^2/3 (2-x) on [-1,2] please show all work

A: To calculate the critical extreme values for the given function over the given interval

Q: Solve using trig substitution.

A: To evaluate the algeberaic integral using trigonometric substitution

Q: Find the solution of the exponential equation 121-x _ = 2 in terms of natural logarithms, or correct...

Q: Find the derivative.

A: Given function is

Q: Find the absolute maximum and absolute minimum values of f on the given interval xex2/98 f(x) -3, 14...

A: Given function is

Q: Evaluate the difinite integral. ∫12x3lnx4dx type an exact answer in simplified form.

A: We need to compute the value of the given integral,

Q: If f'(1) = 1, f(2) = 3, f'(2) = -3, f'(4) = 10, g(1)= 4, g'(1) = 2, find (f o g)'(1) and (f(xg(x)))'...

A: Apply chain rule on to find (fog)'(1)then plug the given values. Answer: (fog)'(1) = 20

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

A: Given function is

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

A: Given,

Q: Find the area of the surface generated when the curve f(x) = (2/3)x^(3/2) - (1/2)x^(1/2) ; [1,9] is ...

A: Given:

Q: Find the arc length of the following curve on the given integral by integrating with respect to x. f...

A: Consider the given curve.

Q: Answer the following questions about the function whose derivative is f′(x)=(x+2)e^-x.Assume the do...

A: for increasing and decreasing the function.

Q: When a foreign object lodged in the trachea (windpipe) forces a person to cough, the diaphragm thrus...

Q: 1. Use the graph of f to estimate the values of c that satisfy the conclusion of the Mean Value Theo...

A: Given that the interval of the function is [0 ,8]

Q: Find equation of the tangent line to the curve at the following point.

A: To write an equation for tangent line to the curve at a given point, we calculate the slope at the g...

Q: Find all critical points of the function f(x) 3x + 12x + 11. (Use symbolic notation and fractions wh...

A: |2x + 1| = 2x + 1 if 2x + 1 ≥ 0 i.e. x ≥ -1/2|2x + 1| = -(2x + 1) if 2x + 1 < 0 i.e. x > -1/...

Q: Find the derivative of the function f(x)= e^-3x ln x

A: Given function is

Q: Check for correct domain and ranges

A: Observe the graph and obtain the asymptotes if any.

Q: 2 Find the volume of the ellipsoid 2y 7z 16

A: Volume of the ellipsoid for the equation,

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: at time t the position of a body moving along the s-axis is given by s=t^3-6t^2+9t (in meters and se...

A: To determine:Part a) The time t when the velocity is zero.Part b) Acceleration of the body when the ...

Q: Use integration by parts to evaluate the integral. 6 3 e cos x dk 0

A: Given integral is

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

A: Given,

Q: see attachment

A: Factor out 2.

Q: see attachment

A: So the vector w is

Q: A corporation recently sold zero-coupon $200 bonds maturing in 3 years with an annual yield of 12%. ...

A: The price is the present value of $200, 3 years from now at the stated interest rate.

Q: I need to find the answer using integration with polar coordinates.

A: Given:

Q: 2. If you graph the function 1 - el/ x f(x) 1+el/x you will see that f appears to be an odd function...

A: Recall the following fact.

Q: 5. In this problem, we will use linearization to approximate the solution of e +1 20 which occurs ne...

A: Consider the given equation

Q: Optimization: You and your classmates have decided to enter an ice sculpting contest. Before you beg...

A: Given an ice block with the following conditions,

Q: Evaluate the integral dx/2sqr(x+3)+x

A: Given that

Q: Use an Addition or Subtraction Formula to simplify the equation. sin(3θ) cos(θ) − cos(3θ) sin(θ) = 0...

A: Given expression;

Q: Solve the IVP: y" - 5/ + 4y = 0, y(0) = -3, / (0) = 3 О у 3 Зе 6 y=-5e 2e 4 O y 2e4r 5е"

A: To find y=y(x) satisfying all the given conditions in the initial value problem

Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: 10 5 0 -1 -10 Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and it...

A: A(blue) is the graph of the functionB(red) is the graph of the function's first derivativeC(green) i...

Q: Use a graph of to estimate the maximum and minimum values. Then find the exact values. Estimate t...

A: First, here we will use the graph of the function to estimate the maximum and minimum values.

Q: I need help solving a Calculus problem. The problem is as follows: C(x) = 100 + 7x - x^2 + 8x^3. Fin...

A: The derivative of a cost function is called marginal cost.

Q: Use the given graph of the functionf to answer the following questions 10 1

Q: If an object is thrown upward at 128 feet per second from a height of 36 feet, its height S after t ...

A: Average velocity in first 4 seconds is

Q: Let f(x,y)= x2-y2 a) On the set of xy-axes, draw the level curves L(x,y) = k for k= 1,2,3. On anothe...

A: The level curves f (x, y) = k are just the traces of the graph of f in the horizontal plane z = k pr...

Q: Given the following piecewise function, evaluate f(−3).f(x)={6x+5 x<−3 −5x+2 x≥−3

A: Consider the given function.

Q: find the critical points, points of inflection, local maxima and minima and graph the function:

A: Given,

Q: Find h(-2) h(t)=t^2-4t+2

A: The given function, h is,

Question

For the composite function, identify an inside function and an outside function and write the derivative with respect to x of the composite function. (The function is of the form
fx) g(h(x)). Use non-identity functions for g(h) and h(x).)
f(x) 9(3x22)5
9x5,3x22
}
{g(h), h(x)
X
270x(3224
f'(x)=

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here