Q3. Derive the inverse of the function tanh(y).

Q: find an equation for the inverse fuction

A: Fin the inverse of the function f (x) = ln (x + 3). First replace f (x) with y as y = ln (x + 3)…

Q: Find the second derivative of the function. 20 (2-0) 20 dr 2 O A. do 2 1 B. do? O OC. do 1 OD. do?

A: Given:  A function is given by,r=1+2θ2θ2-θ To Find: The second derivative of the given function…

Q: se THE INVERSE FUNCTION RULE TO FIND FOR FACH oF THE rou oWING : (OY a. X= Y+y+y3 1. 本

A:

Q: Compute the derivative of the given function. f(x) = 6x" + 3.9a6.7 + 76.7 Note: Use pi for T in your…

A:

Q: Differentiate the following function with respect to X. eX + 3Y =1

A:

Q: Differentiate the following function. r(t) = (4t,8/i,

A: We have to find derivative

Q: - Find the derivative o y with respect to n ort. 4 4 16

A:

Q: 2. √√√x + y + xy = 21

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: Using the inverse function rule, find . Find * if x = (y + 2y – 3)³

A:

Q: - find the derivatives of the following function f (x). px' +qx +r (lal+|b| = 0) ах + b

A:

Q: Find the second derivative of the function F(t) = 5tsin(r³).

A:

Q: Differentiate the following function. f(x) = e 3x +5 d (e 3*+5) dx II

A: The Chain-Rule of derivative states that ddxfgx=f'gx·g'x.

Q: find derivative of the function  h(t) = t2(8t + 7)3

A:

Q: Find dw for the following functions and dw e 2- X+ツ

A: This question can be solved using the concepts of partial derivatives.

Q: Find the derivative of the function. Re) = (6t + 17)2/3 f '(t) =

A: Given  ft=6t+723 To find the derivative chain rule is used F't=f'gxg'x and the derivative used…

Q: i) h(x) = 5 tan(4e²" – 4)

A: Given, h(x)= 5tan(4e^(2x)-4) To find, dh(x)/dx= d (5tan(4e^(2x)-4))/dx

Q: Q1/ find the derivative of the following function 5x? + 2x+3 f(x) =

A: Explanation of the solution is given below...

Q: Differentiate the function. f(t) = 2t3 + 2t – logs t + 4 sint – 2 cosh t + 5

A: (xn)' =nxn-1logx' =1xsinx' =cosxcosh x' =sinh xc' =0 (c is constant)

Q: Find the derivative of the function described. (Rx5) 1E 32 4. f (x) = (1+x² )*²

A:

Q: Find the derivative of the inverse of f for t = 0,

A: The derivative of a definite integral is given by the second fundamental theorem of calculus as…

Q: Differentiate and simplify this function k (t) = e√t^2+t+1 - e-√t^2+t+1

A:

Q: Differentiate the following function. r(1) = (e!2e!-4e) %3D r(1)=

A: We can solve as follows

Q: 4. What is the inverse function rule as to y = f (x) dx a) b) - d): dy xp dy 引

A: Inverse of y=f(x)  is x=f-1(y)

Q: Find the derivative of the following function by first expanding the expression. g(r) = (2r + 3r +…

A: First, let us expand the function as shown below:…

Q: 2. Find the derivative of each function a) f(x) = x³e/x et3+7 b) g(t) %3D t2 )듬x리 In(2x + 1) 8x+9 x3

A: According to our guidelines we can only answer 3 subparts of a question, rest you can repost

Q: use THE INVERSE FUNCTION RULE TO FIND 1. FOR FACH or THE Fou OWING : (dY 本 y

A: Here we have to find out dy/dx.

Q: Find the derivatives of the following function f(x) from the first principles  (i)x3

A:

Q: For the function h(x,y) = ?x = x +9y 2xy-9 ah əh find and ax ду

A: We need to find derivative.

Q: help!

A: Given function is

Q: Differentiate the following function. f(x) = - 2 e 4x d (-2e **) =D - 2 e 4*) %3D dx

A:

Q: Determine whether the following statementsare true and give an explanation or counterexample.If in…

A: we know that for any given function ∫abfxdx=-∫bafxdx which means given statement is false

Q: Find the first and second derivatives of the function. L(t) = 1+2.le 16 3.9t

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Q: Differentiate the following function. 3 f(x) = 9 e 9 e dx %3D

A:

Q: Differentiate the following function. r(t) = (e',7e -1, -9e4) r'(1) = (OOD

A: Derivative

Q: 2. √√√x + y + xy = 21

A: We have to find out derivative

Q: Find the derivative of the function C=25(11q^5−14)^8.

A: According to the differentiation rule the power comes down and reduces by one and then chain rule is…

Q: 4. If y(T) = 1 – exp(-bNT), find the inverse function T = T(y). (Show me your work!)

A: Answer

Q: find the diferential of the function when x = 2 and dx = 0.1 f(x) = 3 / (x-1) ^ 2

A: Given that f(x)=3(x-1)2 Take the derivative with respect to x, dfdx=-6(x-1)3df=-6dx(x-1)3

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: Find the derivative of the function. Simplify and express the answer using positive s = [(2 – t2)(?…

A:

Q: Q2/ Find the derivative of the function (x) =Vx? - 3 by definition

A: Use the definition of the first principal:   ddxfx=limh→0fx+h-fxh So, ddxx2-3=limh→0x+h2-3-x2-3h

Q: Find the first derivative f' and the original function f. f"(x) = x³ – 24x, f'(1) = 0, ƒ(1) = 20 %3D

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Q: dy For each of the following functions determine da

A:

Q: O Use implicit differentiation to find if x2 + xy + y? = 1.

A: solution:-

Q: Differentiate the following with respect to x: d) e 2

A:

Q: -2x Answer the following questions about the function whose derivative is f'(x) = (x+5) e2x,

A: Given f'(x)=(x+5)e-2x  we need to find the critical point, interval of increase and decrease, and…

Q: I. Find the derivatives of the following 1. f(x) = 2x2 + 3x - 7 %3D

A: We know that ddxxn = nxn-1               and                    ddxpxn = p ddxxn = p× nxn-1 = pnxn-1

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.