Let h(x) = f(x) – g(x). If f(x) = 5æ² and g(x) = 2x, what is h' (1)?Select the correct answer below:O 16O 10 32²+7xWhat is the first derivative of f(x) = In( 12 )?Select the correct answer below:6z-7f'(x)f'(x) =6z+76z+71f'(x) =372+7zO f'(x)=6z+73z2+7z

As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Answered: Let h(x) = f(x) – 9(x). If ƒ(x) = 5x²…

Math

Calculus

Let h(x) = f(x) – 9(x). If ƒ(x) = 5x² and g(x) 2a3, what is h' (1)? Select the correct answer below: O 16 O 6 O 10

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: Find all values of x such that dy/ldx = 0 where y is the function stated below. x2 y = -3x + 4)

Q: If f(x.y) = In(x² + y²) + find fr and fy -

Q: If f is continuous and f(x)dx=10 on the interval [0,4] find xf(x^2) dx on the interval [0,2]

Q: Compute the second order derivative f"(x) for f(x) = 3x* -/x. %3D 36x2- 4x2 Ob.36x2 + 3/2 3/2 1 OC.…

Q: 12. Given the function y=6x-2, find the derivatives O -6 O 2 O -2 Required

A: Topic:- calculus

Q: 2. If f (x) = Sn* et? 0, dt, find f'(x) V2t+sect

A: The solution is given as

Q: Which among the choices has the first derivative that is e (2x+1) (x +3) ? Of(띠) 3D + 글z2 + 2x-8 O…

A: given function has first derivative is f'x=2x+1x+3 f'x =2x2+7x+3

Q: Given f (x,y) = x³ + y3 – 3y² – 3x² – 9y, find the critical points and use the Second Derivative…

A: solution :-

Q: Find F(s). F(s) = £{t¹8e-4tz X

Q: 2²y. 3. Consider the function f(, y) =

Q: Find the third Taylor's polynomial f(x) = x3 – x² + 3x + 1 which can easily find the derivative at…

Q: Given f (k) = In(k² + 2k + 1) – 3ke + 6k2 – 9k a. Using the properties of derivatives, solve for…

A: The function is given by fk = lnk2+2k+1-3ke+6k2-9k To evaluate: The expression of f''k

Q: Suppose z is a function of x and y, and csc Vr² + yz = z"esin. Solve for dz and

A: A multivariable function is a rule that connects two or more variables. The partial derivative of a…

Q: Find the linear approximation L(x) to y = f(x) near x = a for the function. F(x) = (1 / x) , a = 2

Q: Find all antiderivatives of function: f (x) = e-3x

A: Consider the given function. fx=e-3x We have to find I=∫e-3x dx Substitute -3x=u -3dx=dudx=-du3

Q: Find the local linear approximation L (x)of the function f (x)= x² +3 at x = 1

A: Given that: f(x)=x2+3

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given functions are: y=a2-t2x=42t2+a In order to calculate d2ydx2, firstly we will calculate d2ydt2…

Q: What is the derivative of the function f(x)= In(3x2) ? а. f'(x)= 2 b. None of these. с. 1 f'(x)= %3D…

A: We have given that The function is f(x) = ln(3x2)

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

Q: Find the linear approximation to f(x) = at a = 4.

Q: Differentiate the function. y=In(x²+e' y=In(x²+ean x)

Q: +1²y=y² If the function u = ln (2¹+2²4 - v² ) then a Su rou + you is

Q: find the solution of following derivative by Runge-Kutta method f(x,y) = -2x3+ 12x2 - 20x + 8.5 let…

A: Consider an initial value problem dydx=f(x,y) with the initial condition yx0=y0. Then Runge-Kutta…

Q: 1. If F(x)= = ² e²² et² dt, find F(1) and F'(x). ez

Q: 5 What is the derivative of5a2 + 10x + ? A None of the given choices B 10x + 10 + 3x2 10a4 + 10a³ –…

Q: For f(x, y) = 2y3 + x² – 4x – 4xy – 9, find the critical points and use the - Second derivative test…

Q: Find the third derivative of f(1)= 2x(x -1)" Oa 18 b.14cos 13 OC16sim Od12

A: we all know that dxndx= nxn-1. and first derivative dfxdx=f'x and second derivative df'xdx=f''x and…

Q: Find the actual error when the first derivative of f (x) = In x at x = 2 is approximated by the…

A: given fx=lnx f'x≈fx+h+2fx-3fx-h4h to find the actual error

Q: (8) Find the linear approximation of the function f(x) = Va at a = 25 and use it to approximate the…

Q: Find the indicated derivative.dp/dqfor p =q2 + 2/4q-2

A: Given a function in p in terms of q as shown below. We need to compute dp/dq.Here we use (u/v) rule…

Q: 2) Find the derivative of the function. T(r) = ar² + 2e" + n². %3D

Q: If u = f(x), then f- dx ++2x+1 +C for some constant k. Compute kf(1).

A: In this question we have to compute kf(1).

Q: a.) If f(x) dx = 4x9 − 8x6 + C, find f(x). f(x) =

A: Given: ∫fxdx=4x9-8x6+c ..1 for finding fx, we differentiate…

Q: Q2- If Z = f(x, y) = sin(x³y5) Find fyy and fyx

Q: Find the linear approximation L(x) of the function g(x)= ∛(2+x ) at a = 0 and use it to approximate…

Q: Q3: find the derivative of In(x4+3x-1) a) f(x) = %3D x²+1 b) f(x) = 4x³ . log(x² + 2x) %3D c) f(x) =…

A: Use product rule of differentiation.

Q: nd the derivative of the functionf(x) = v 5x+6 using the limiting proces A) S'x)= - 2 5x+6 Sx) = 2…

A: We are asked to find the derivatives of the function using limiting process.

Q: Find the linearization L(x) of the function at a. п f(x) = sin(x), a = 6 L(x) =

Q: Find the most general antiderivative of f(x) = -10x – (1 – x²)-1/2, where -1< x < 1.

Q: Find the first derivative f(t)-4cos (t)-10tan(t) -1

Q: Consider the following function: f(r) = 2r + 3z² – 12z Find the critical numbers of f. (x = ?)

Q: Find the antiderivative of the function: f(x) = ex + 3x - x2

Q: (3) If | f(x) dx exists and c is a real constant, prove that f(2) dz = / f(x + c) dz. | {(x+c) Vel

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 3. If f(x) = (1–- t²)e*dt, on what interval is the curve y =f(x) upward? concave

Q: Find the G.S. about xo = 0 for: (x² + 4)y" + xy = x + 2

Q: At what x-value(s) on the interval [-2, 3] does the graph of f (x) = x² + 2x – 1 satisfy the M.V.T.?

A: According to mean value theorem,Let f be continuous on [a,b] anddifferentiable on (a,b). Then…

Q: Find L(x) (Linearization function), given f(x) = ev2x at the value a = 2.

Q: Find f(3,4) for f (x, y) = ln(x + Vx² + y²).

A: We have to find out the derivative

Question

Let h(x) = f(x) – g(x). If f(x) = 5æ² and g(x) = 2x, what is h' (1)?
Select the correct answer below:
O 16
O 10

32²+7x
What is the first derivative of f(x) = In( 12 )?
Select the correct answer below:
6z-7
f'(x)
f'(x) =
6z+7
6z+7
1
f'(x) =
372+7z
O f'(x)=
6z+7
3z2+7z

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Numerical Differentiation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

10.Anti-derivative of y(2y^2-3)^5
1. Determine the -values where relative extrema occur for y = (x ^ 2 + x - 12) ^ 2 . Use the second derivative test, if possible.
Q 2: Use central difference method to estimate the 1and 2nd derivatives of the following function at x=3 and step size h=0.1. Compare your result with the true value (calculate the true error): f(x) = 25 x^3 – 6x^2 + 7x – 88
4)Given f(x) = 2x/(x2 + 1) a)Find the derivative. b)Find the critical numbers .
Find the fourth derivative of the given: (Show complete solution from first to fourth derivative) y= 5√(2x+1)2
Determine the percentage relative error (In 2 decimal places) when we compare the derivative of 12e^(2x) at x = 1 via incremental method (with h = 0.01) and via differential calculus. Show complete solution on a paper.
A second derivative Findd2y/dx2 if x2 + y2 = 1.
FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM ( 1. y = Arctan√3x−4/4 2. y = 2 Arccos ( 1 -x/2) + √4x − x2 3. y = ln (x3(x−1)/(x−2)^2) 4. y =e^3x−e^−3x/e^3x+e^−3x 5. x =t/t−1, y =t2/t2−1
show derivatives of : a. y = ex^3+5x3 b. y = ln(2x4+2)3
Determine the second derivative of f(r) = x^2e^2 at x= -2 with a step-size of h=0.50 using Central difference approach and true value with ET. please please do show the complete solution thank youuu
find th first derivative: x=2cos2 t/2
How do I use the chain rule to find the derivative of (y=(cosx+2sinx)8)? I know (cosx=1) and (sinx=0), how do I solve with 2 in front of sinx? Do I apply the (x8) to both (cosx) and (2sinx)? Thank you so much.