Suppose 8 (x) =V 4x+5. What is the correct result of the derivative of g with respect to x? 1 A 8'(x) = %3D 4/4x + 5 1 В 8 '(x) = %3D 2/4x+5 2 © 8'(x)= %3D 4x + 5 4 D 8'(x)= D 4х + 5

Q: If ƒ(x) = x^n, n>=1, show from the definition of the derivative that ƒ′(0) = 0.

A: Given,

Q: Find the first derivative: y= ln v5x3 –- 2 5, O y = 222 %3D 523-2 O y' = 322 5z3-2 O y' = 622 5z3-2…

A:

Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

A:

Q: What is the first derivative of q(x) = In (4x² + 3x+2)? Select the correct answer below: In (8z + 3)…

A:

Q: Find the derivative of the function y = (4x + 1)4(5x + 1)-5. dy (16x+4) 3 (4x+1)4 dx (5x+1)5…

A:

Q: Determine the derivative of the following functions. 1. у 3 (8ӕ — 1) sinh(8a — 1) 2. y = (5)…

A:

Q: ; Compute the derivative of the function: f (x) = (+ Inx)² а.

A:

Q: Compute the derivative of y = ln ( – V1 – 2 cosh x (x° + 2) |

A: To compute the derivative of,  y=ln1-2 cosh x .x3+2x.x-1.

Q: Find the Indicated Derivative for Higher-Order 1. y = 10x5 - 21x4 + 13x3 - 6x2 + 5x - 1000 ; y(6)…

A:

Q: 2.) Investigate the derivate of the function ƒ(2)=Imz by using definiton of derivative.

A:

Q: 2 The derivative of (g(x))¯ is equal to (g '(x))¯. Select one: True False

A:

Q: The derivative of y= sech-(Inx)+e sinh- (3x) equals Select one: +3esinh (3x) cosh(3x) y' = xlnxv…

A: The derivative of y=sech-1(lnx)+esinh-1(3x) is to be calculated by chain rule. The derivative of…

Q: In (In e*1): What is the derivative of y 3z²+1

A:

Q: Estimate the root very near x = 0.4 of 4(x*)" - 4(x²) + 1 = 0 using the Newton- Raphson Method with…

A: Consider a function:  fx=4xx4-4x2x+1      =4x4x-4x2x+1

Q: Obtain the derivative of the function y 4y sen (3x) – 7x In(2x + y) = e* - ey + 4tg(y)

A:

Q: 5) Find the second derivative of f (x) = %3D ex plify your answer as much as possible

A: fx=1-2xexTo find the second derivative

Q: Use forward difference approximation to estimate the first derivative of the following equation.…

A: Given that, fx=-0.15x3-0.2x2-0.5x+2.25h=0.5We need to find the first derivative of the function at…

Q: Compute the second derivative with respect to x of 3x3 + 8 y = at x = 1.

A:

Q: Differentiate y - V3x² – 4 using the Chain Rule. 6. What is the outer function of the given problem?…

A:

Q: 15 - What is the approximate derivative of f(x) = 5x° + 4x? if we use forward difference method,…

A: Derivative of function at any point gives the slope of tangent to the function at that point.…

Q: Find the derivative of the function.

A: Consider the given function as y=xtan-12x-14ln1+4x2

Q: Use forward, backward and central difference approximations to estimate the first derivative of:…

A:

Q: If we are getting the partial derivative of f(x,y) with respect to x, we are letting the y variable…

A: hello greetings from bartelby.i am here to help you.

Q: Use three-point midpoint formula to evaluate the first derivative of y=x2+5x−1y=x2+5x−1 at x=0x=0…

A: Given function is y=x2+5x−1. We have to evaluate the first derivative of y=x2+5x−1 at x=0 using a…

Q: 1) Find the second derivative of f(x)= 24\x . (6) 2) If y = cos x, what is y (x)?

A: To find the derivatives of the given functions.

Q: 2. use the fundemental derivative formula to differential the folwing at x=2 • gex) = 3x-1 2メ+1 (1o…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find the Indicated Derivative dy 1. y = x5 - 3x* + 2x3 - 2x2 + 7x - 1, dx dy 2. y =x2+x-3 + 3, dx…

A: Given:- y = x5 -3x4 +2x3 -2x2 +7x-1 y =0.5x-2 + (2x-3/3) +3 To find:- dy/dx

Q: What is the value of the first order derivative of the closed function given as…

A:

Q: Find the derivative of fcx) = en (sinh Cx)) 5

A:

Q: Suppose that the first derivative of y = ƒ(x) is y'= 6x(x + 1)(x - 2). At what points, if any, does…

A: The derivative of the function y=f(x) is y'=6xx+1x-2. We have to find at what points, if any, does…

Q: 2. What is the equation of the tangent line to the curve y = x? - 2x +1 at point (3,4)? а. у3 2x — 2…

A: The equation of line is y-y1=mx-x1, where m is the slope of the curve.

Q: What is the approximate value of the first derivative of S(x)=-0.1x*-0. 15x-0.5x-0.25x-1. 2 at…

A:

Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &…

A:

Q: 2. Prove from the definition of derivative that for n EZ, d ng"-1 dr

A:

Q: Approximate the derivative of f(x)-x3+4x2-10x+5=0 at x=3 using the forward, backward and central…

A:

Q: 2. Approximate the derivative of f(x) forward, backward, and central difference method and step size…

A: To obtain the derivative at the point x0,y0, the following methods can be used:- The forward…

Q: Compute central difference approximations for the first derivative of the function, y =[ elnx)2 , at…

A:

Q: The derivative of y= sech1(Inx)+esinh(3x) equals Select one: 1 3e sinh"(3x) O y' = - xInx/1-Inx…

A: Proceed as shown below...

Q: 5. Find the first derivative of y = (2x³ – 1)5 Vx² – 1

A: Given: y = (2x3 – 1)5√(x2 – 1)

Q: 3. Find the derivative of h()= 5²°-2z-1 %3D

A: We have to find derivative

Q: Find the derivative of the following using General Rule. 7) y = vt3 8) f(x) = 6 + 5 1 9) y =-+ 2 x3…

A: We have to find derivative of Given function.

Q: (a) By using the chain rule and the derivative (1, if x>0 4 (1xl) ={-1, if x<0 %3D find (lx-x) vxE…

A: Use the chain rule to differentiate the above given function and than use the given derivative of…

Q: 4. Show that the derivative of log,(Va +5) is 3(r + 5) In(2)

A:

Q: 2. Determine the second derivative of f (x)=xe* at x = -2 with a step-size of h=0.50 using Central…

A: Given f(x) = x2e2x

Q: 15 - What is the approximate derivative of f(x) = 5x³ + 4x² if we use f(ze+h)–f(za) forward…

A:

Q: Find the fourth derivative of f (z) = 27 + In (z) – 160z. %3D

A:

Q: Compute the second derivative with respect to r of 3x + 8 y = at x = 1.

A:

Q: Find the 2nd derivative of (y^2)+cosx 3y +1

A: This question is based on Derivative of equation.

Q: 8. Find the derivative of y = In(3t) dt.

A: To Determine: Find the derivative of given integral:…

Q: Suppose we are asked to compute the 100th derivative of x 3 . How can we obtain the answer in a fast…

A: Solve the following