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)=
Expand
Transcribed Image Text

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

A: Click to see the answer

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...

A: Click to see the answer

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

A: Click to see the answer

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,