1-x sinh Find the derivatives . 1+x

Q: 11z Find an equation of the tangent line to f(x) = 2 sec (x) at x = (Express numbers in exact form.…

A: The equation of a line is y=mx+c, where m is the slope and c is the y-intercept. Slope of the…

Q: Q7/ find the derivative ) answer five only 1-f(x) =+ 5 e* x4/3 2- f(x) = 2 x² + 3y + 3- f(x) = cot x…

A: Product Rule of differentiation : du.vdx = u.dvdx +dudx.v. dcotxdx = -csc2x

Q: 1. DETAILS Find an equation of the tangent line to the graph of the function at the given point. You…

A: To find an equation of the tangent line to the graph of the function at the given point.y=6cosh…

Q: 1be Sine Function The sine function sin x has the property that the square of itself plus the square…

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Q: B. Derivatives of Trigonometric Functions dy Using the formula find dx 5. у-сos (2x-1)

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Q: 13x Find the derivative of the function y = 2 tan¬1 (5x ). (Use symbolic notation and fractions…

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Q: Find the limit

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Q: Derivatives Find the derivatives of the following functions.

A: Given f(x) =xsin h-1x - x2+1Differentiate w.r.t 'x', we haveddxf(x) = ddxxsin h-1x - x2+1…

Q: F f(z) = -3e sinr, the second derivative f"(x) is: %3D

A: Given f(x)=-3ex·sinx Taking first derivative with respect to x, we get f'(x)=-3ddx(ex·sinx)…

Q: 3. 4ln(Arctan x) = 1- y

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Q: a. Find the local extrema of each function on the given interval,and say where they occur.b. Graph…

A: Givenf(x)=sinx-cosx  0≤x≤2πTo  find local extrema  and graph of f along with f'.

Q: Find the derivative of the function below. Do not simplify your answers (SHOW ALL STEPS) f(x) = (sin…

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Q: cosh(sinh(v)) =V1 +x? dy Determine an expression for y'= (your expression will contain both x and y…

A: 8 i zx=2(x-a), this is true (ii) zy=2n(y+b) zyy=2n, true

Q: derivative(y

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Q: (a) Find the derivative. y In(4x – 5) – 3 In(x) dy dx (b) Find the derivative. 4x - 5 y = In x3 dy…

A: a) First we shall find the derivative of y=ln4x-5-3lnx Now,…

Q: Find the second-order derivative of the following function: f(x) = log2 COs x + In T

A: Let's find.

Q: 19. e +e=e**y

A: This is a problem related to differentiation. Please follow the procedure given below.

Q: a. Find the local extrema of each function on the given interval,and say where they occur.b. Graph…

A: Find the local extrema of each function on the given interval. f(x)=sin2x, 0≤x≤π find the first…

Q: h. f"(x) iff(x) = 1 (Take repeated derivatives until you find a pattern -- use it to find a 1– 2x…

A: Given,

Q: 7. у%3D Arccos(eе*)

A: y = Arccos(e^(2x)) double derivation y''.

Q: Find the derivative of the function. rsin(x) In(5 + 2v) dv cos(x) У (х) Need Help? Read It Watch It…

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Q: 2x ind the derivative of: 2e cos(8x). [Hint: use product rule and chain rule!] se e^x for e*. ow,…

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Q: Find the x-value(s) where the graph does not have a derivative. Ay The x-value(s) where the function…

A: Recall: To be differentiable at a point , a graph must satisfy two conditions at this point .First…

Q: a) Complete the differentiation rule: In x. b) Complete the differentiation rule for b > 0: log, x.…

A: a. Rule for ln(x) is below:

Q: 1 5. Find y" of y= sin 3x

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Q: Find the second derivative(y”) of the following functions and simplify the final results

A: Given,  y = e-3x+4+2e2+3x+1  We have to find y''.

Q: Derivatives with exponentials Compute the derivative of the following functions.

A: Given, g(t)=2tet2   We have to find, g'(t)=ddtg(t)   As we know, If h(x)=f(x)g(x) Then…

Q: V3 n - 1 Find the slope of the curve y = cosx at without calculating the derivative of cos x. 2 '6…

A: Solpe of the cure at point x=a is the the derivative at point at x=a.

Q: Calculating derivatives Find dy>dx for the following functions.

A: To find: The derivative of y=5x2+cos x. Formula used: Sum rule of derivative: ddxu+v=ddxu+ddxv Power…

Q: Find the derivative of the function and evaluate the derivative at the given h(x) =x*; a = 1 Find…

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Q: 9. XArctanx - Invx² + 1 = y

A: It is second derivative.

Q: 6. In(x®y²) = x² +y³

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Q: x+5 Find the equation of the tangent line to the graph of the function f (x) at the point (0, -).…

A: Given fx=x+5x-4 at the point 0,-54

Q: Find the indicated derivative. Then find an equation of the tangent line at the indicated point on…

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Q: FINAL ACTIVITY: FIND THE DERIVATIVE OF THE FOLLOWING FUNCTION.WRITE THE ANSWER INTO SIMPLEST FORM:…

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Q: 6. DETAILS Find an equation of the tangent line to the graph of the function at the given point. You…

A: General equation of tangent: y=mx+c where m is the slope and c is the y intercept Recall:…

Q: Find general solutions (implicit if necessary, explicit if convenient) of the dif- ferential…

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Q: differntiate  y=ax^2 +bx+r   Find an equation for the tangent line to the curve at the given…

A: Topic:- Differentiation

Q: Find the derivative of y with respect to t. y = sin -1 (V3t) dt (Simplify your answer. Type an exact…

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Q: Find the derivative. G(t) = sinh(ln(t))

A: Topic = Derivative

Q: II. Find the first derivative of the following functions. Simplify results. Use differentiaion…

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Q: d(tan (1)) d(tan x) – 2 for x="% and y = 1. Find the dx using the rule we tan x, dx arned in class…

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Q: 2.5 Can you show me the steps to solve the problem? Directions: Find the derivative of the function.…

A: Here the given function is y = (cosx) /√1 + sinx . and we find the first derivative of the function:…

Q: Please I want solution of question 2.b with step by step. Many Thanks

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Q: Derivatives Find the derivatives of the following functions. ƒ(x) = sinh 4x

A: Given information: fx=sinh4x We have to given the sinh function, need to derivative  To derivate, it…

Q: 5. . e(2x- y) == 2x – y

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Q: 10. Use the product, quotient, and chain rules to find the following derivatives. Do not simplify…

A: We can find the differentiation as below using the differentiation rules

Q: (a) Find the derivative of the function f(x) = %3D ex-1 (b) Find the derivative of the function g(x)…

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