y = V4x3 –6

Q: Differentiate the following function. y= Vx+ 1 (4x + 1)2

A:

Q: Differentiate the function.

A: We will use the chain rule

Q: Differentiate the following function

A: The given equation is

Q: Calculate L6 for f(x) = v9x + 1 over [1,3]. (Give your answer to three decimal places.)

A:

Q: Consider the function y = f(x) with the graph below. %3D

A: The given graph is

Q: Differentiate the function with respect to y. A Z = + Bey уб Z' + Bey = 8A 9 y 20 -

A: In this question we have to differentiate the function with respect to y.

Q: y=t In(\F)

A: We need to evaluate the derivative of the following function  y = t lnt

Q: Find the linear approximation of the function f(x) = Vx+3 at a = 1 and use it to approximate the…

A: Given the function fx=x+3. Find the linear approximation of f(x) at a=1 and use it to approximate…

Q: h) f(x) = e4sin(5z+2)

A:

Q: Differentiate the following function. y%3De y' = le**

A:

Q: 4. y = sech? In x

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please…

Q: x+1 3 y = x–1

A: Given:  y=x+1x-13    Differentating with respect to xdydx=ddxx+1x-13        =ddxx+13x-13      Using…

Q: Differentiate the function y=(√x−1)(√x+1).

A: Given: y=x-1x+1

Q: find the specific function values. ƒ(x, y) = x2 + xy4 ƒ(-1, 1)

A: Given: fx,y=x2+xy4, f-1,1 for finding given value we substitute x=-1, y=1 in given expression

Q: Differentiate the function.   y=e^0.5t

A: Refer to the question, we have to find the derivative of the provided function y = e^0.5t.

Q: The level curves of the function f (x, y) = V2x2 + y? – 1 are

A: Please refer to the image below

Q: y = cosº (4x)

A: Given: y=cos94x As we know that: The Power Rule: ddxxn=nxn-1 The Chain Rule: fgx'=f'gx·g'x

Q: Q1. Integrate the following functions with respect to x: y = 3x2 (1+x³)*

A: Explanation of the answer is as follows

Q: Express the function in the form   f ° g  ° h

A: The given function is Rx=x-1 It is required to show the given function in the form of fogoh. So,…

Q: +V2x y =

A: According to the chain rule of differentiation:

Q: Differentiate the function y=xcosx  and y=(x+1)e2x.

A:

Q: Apply the definition to differentiate the following functions: 1- y = ₁

A:

Q: y= V> +In(5x) Differentiate the function

A: Given,           y=x2+ln5x

Q: At what points are the functions continuous?

A:

Q: Differentiate the function. y = V x2 + 2x

A:

Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

Q: Plot the following functions 1. y = - V2x +1

A: x y=-2x+1 -12 0 0 -1 1 -3 2 -5

Q: Find dydx, where y is defined as a function of x implicitly by the equation below. y3+2x2y5=1

A:

Q: 2 (d) T (z) = VE + 97 -- %3D (e) h (x) = x"- æv2 %3D

A:

Q: Differentiate the following functions. eX+e=* y D .y= 2

A:

Q: Differentiate the function. y= (2x-5) (1-x*)1 dy %3D xp %3D

A: Explanation and solutions is given below....

Q: Find the Batio fies function that y².e y(o)=

A:

Q: Find the derivative of the following function: 2x-1 11. y = %3D Sx +2 13. y = V2x + 6 %3D

A:

Q: Find all local extrema for the function f(x.y)= 4y-128y +3x -11.

A: Given,  f(x,y)=4y4-128y2+3x2-11

Q: What effect does a horizontal stretch or compression have on the y values of a function? W effect on…

A: Horizontal Stretches and Compressions When we multiply a function’s input by a positive constant, we…

Q: Differentiate the function with respect to the independent variable. f(x) = 2x° In xº f'(x) =O

A:

Q: Find f, for the function f (x, y) = yx-2z'y %3D

A: we have to partially derivative

Q: Sketch the level curve of the function V(x, y) x² + y? for c 64. %3D

A:

Q: Differentiate the following function. y = Vx y' =

A:

Q: 1. 3y4 + 2xy = 4

A:

Q: Differentiate the function t= (ln(y)) / y³

A:

Q: The average change of the function y = √x from x = 4 to x =16 is _________________ ?

A: The given function y=sqrt(x). We need to find the average change of function over interval [4,16].

Q: 1. Plot the function f(t) = (x+5) %3D 4+3x2 for -35 x 5.

A:

Q: Differentiate the following function with respect to x for y=2e^3x + 8e^9-2x .

A: Given equation is y=2e3x+8e9-2x Differentiate with respect to x.  then,

Q: Differentiate: f (x) = x°e" %3D

A:

Q: Differentiate the function. y = In(12 + t – t³1) y' =

A: Here we differentiate the y with respect to t

Q: Differentiate the function P = 5t³ + 4e'. dP dt

A: GIVEN: P = 5t3 + 4et TO FIND: dPdt

Q: (b) Find the Linearization of the function: f(x)= Vx at a= 27 and use it to approximate the number…

A: Let the function is f(x)=x3 Let a = 27   Formula: Linearization of the function f(x) at x = a…

Q: Find the domain of the function flx, yl= %3D

A: Explanation is given below...