e2= (x² + 1)² 2/rª – 1 3. Find the derivative of y = ln Make any obvious simplifications. -

Q: 1. Find the derivative of the following e)y ln x - x ln y = c

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Q: 1. Find the derivative of each function below. ex² - 3x +1 y = In(2e¬t sin t) A y =

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Q: Please I want solution of question 7 with step by step. Many Thanks

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Q: 2. Calculate the derivative of the following. B. Y= tan(x+ 5r-2) C. y=- (E +24) :(2-)

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Q: In the given question/s , find the derivative of the function.   y = ln (ln x)

A: We have the function y in terms of x  therefor we can  find the derivative of the the function y by…

Q: 13 Find the derivative of the function. Y = 2² + cos" (xx) a

A: Solution:- Given function is  y= a4+cos4(x)           ----------(1) Here, the variable is 'x' and…

Q: 20. Find the derivative of the following functions (do not use exponential definitions of hyperbolic…

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Q: 1. Find and simplify the indicated derivative: (a) D: [e¯t sin(2t)]

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Q: What is the derivative of y cos e4- 2 7

A: Solution is given below:

Q: Q1 Find the derivative of the function : f(x)=ex+1-2x³ at x=1.5,with h=0.1, using the central…

A: Numerical differentiation is nothing but to approximate the changing in the function value with…

Q: B) Find the derivatives of the following functions: (for only 6) 5) y- In ( sin' 0) 6) y = log:() 7)…

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Q: Givenf (x) = ln x, what is the derivative function f' (x), and what is its domain? f' (æ) = e², for…

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Q: Which of the following is the third derivative of y, if * y = (sinh 5)x2

A: we have to solve the problem

Q: 1. Find the derivative of the following: (Simplify your final answers.) f(x) = ev3(cos²zx) C.

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Q: Find the equation of the tangent to the graph xey +y-2x = In 2. %3D Evaluate the derivative of the…

A: Since you have posted multiple questions but according to guidelines, we will solve first question…

Q: 3. Find the first derivative of k(x) if k(x) = e(4x – 3)

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Q: e3x-e-3x Y = e 3x+e-3x 4. t2 y= 72-1 5. X = t-1

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Q: cos (5x-0.1) w(x) =- e*

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Q: 1. Find the derivative of the functions, do NOT simplify. a. y = In(8 – 3x) | b. y = ln /2.x + 1 3a2…

A: We have to pick the most challenging formula among differential formulas and solve it.

Q: 3. Find the *_ 2° L_weak derivative her XE [0,2TC] XE

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Q: How to solve the derivative of this

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Q: 1. Find the derivative of the following functions. (find y') a. у %3DIn(cos(20)) b. cos(xy) = x - y…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: -1 The derivative of the function y = sin Va at 1 is equal to 4

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Q: (12) Find the derivative of the function Y = cos (a³ + x³)

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Q: Q4: Find the second derivative of f(x) = %3D (cos^2) 7x: *

A: The given function is;  f(x)=cos2(7x) We have to find: f''(x)

Q: (3e)® arctan (3x³) In(e2«) arccos(5x) 1. Find the derivative of f (x)

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Q: 1. Find the anti-derivative of the following. e" (x + 1) dx x2

A: From the given information. Anti-derivative has to be calculated to the following expression.

Q: Find derivatives of the functions defined as follows:

A: Given that : The function is y = tet + 2e2t +1 .

Q: Find the equation of a curve if d²y 4 = dx² (2x - 1)² the curve passes through (5, 2 ln3), and the…

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Q: h(x) = In (2x-2)+(x² +1)e³x-6 %D Calculate the derivative at x=2, that is h'(2)=

A: calculate the derivative as shown below: h'x=ddxln2x-2+x2+1e3x-6…

Q: 4 %3D ») f(E) =

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Q: Find the derivative of the function y = 0.5 In (e +1).

A: See answer below.

Q: 10. Solve for the derivative of y IMPLICITLY 22 + Væ³ + 2y= y²

A: Note: According to our expert guidelines only first individual question is to be answered, kindly…

Q: Solve the problems below: 1. Find the 25 derivative of y=x. 2. Find the nth order derivative of the…

A: 1. Consider the given function, y=x20 the first derivative of the function will be,…

Q: 7) Find the derivatives in a) y = (1+e')lnt

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 3. Determine the derivative of each of the following. a) y = e-*sinx b) y = 2* + 3* c) f(x) = xcos2x…

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Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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Q: 4. D, (x-2)(2x +3) 5. D, (e")

A: We know that, Dx(ex) =ex Dx(xn) =nxn-1

Q: 2=1.4. (d) Use the second derivative mid-point formula to find the most accurate value for at

A: We will use basic knowledge of numerical analysis to answer this question.  NOTE THAT IN YOUR…

Q: 2. Find the first derivative of the following expression: f(x) = (x2 + 1)sin a

A: take derivative  use the exponent rule

Q: 1 y 4 18) Find the first derivative of y = -sin? x

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Q: 2. Find the derivative of h with respect to u if h = n²u

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Q: Can you help me with this problem step by step?

A: Consider the given function:

Q: Example: 1. Find the derivative with respect to x for the following. a. y= e3x2-1 b. f(x) = ee c. y…

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Q: dy dz a ) e-π7z In(y) = x²z

A: Detailed solution is given below.

Q: f(x) = e²x cos(x) e2

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Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

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Q: 7. Find the second derivative of the following function: y = e** +In(7e¯* + 5x³) – 5²× +-

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Q: 11 with respect to x is The derivative of y = cos - 1

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Q: 1.) Find the 30th derivative of y = e¯*

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…