e the chain rule to find and simplify the derivative of the function g(x) = cos(sin1(3x)).

Q: 8 log, 4-37 Using rules for derivatives, find the derivative of f (x) sin x

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Q: Flag question Solve for the first derivative of y = 5cos 5x cos x

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Q: 5. Consider the function { Va if 01 f (x) = What is the derivative function for f(x)? What is the…

A: The given piecewise function is  f(x)=xif 0≤x≤112x+12if x>1

Q: ACTIVITY 2: Find the derivative and simplify the result, if possible y = x2 + n² +x" y = x2 sec x y…

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Q: 3. Determine the derivative of the function with respect to x. (Arrange your answer from highest…

A: We are given: y=(x2+1)(x3-x2)⇒y=x5-x4+x3-x2 We need to find its derivative. This can be done as…

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A: Given : f(x)=7x+1   To Find : a) Derivative of f(x) b) Tangent at point (a,f(a)) where a=5

Q: 6 with respect to x. Find the derivative of y = cos 6. with respect to x is The derivative of y =…

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Q: a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to…

A: Dear Student, according to the Bartleby guidelines, we can answer only one question if multiple…

Q: State both forms of the Chain Rule for calculating the derivative of y = f(g(x)). State both forms…

A: We can answer both the questions as below

Q: Using Leibniz find the third derivative of the following function y = e2a Inx

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A: use differentiation and equation of tangent line.

Q: I am very confused on these two problems and I have homework due in 30 minutes.

A: Both problems concern finding deriviatives of functions ,using standard rules of differentiation

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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,…

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Q: c) Use Leibnitz's Theorem to calculate the 4th derivative of y = x^sin (3x) d) Locate and identify…

A: We have to solve part c and d.

Q: Find the derivative of y with respect to x. y 3 sinh 8. The derivative of y with respect to x is

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Q: e derivative of the function given below be used to find the derivative of the give y = x*

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: |(x+ 1) |(x – 1) Find the derivative of k(x) = ln A. k'(x) = x2-1 -1 В. К(х) — (x²+1)

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Q: C. Find the derivative of each function. x' - 2x 3. h(x) = 4. F(x)=sin x- cos x- tan x tan x D.…

A: Follow next step

Q: Find the derivative of the function. 1- e2x 1+ e2x y = cos y' = Need Help? Read It Watch It

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Q: a) Find the derivative of the function y = sinx + cosx. b) What is the value of the derivative at x…

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Q: a) Using the definition of derivative, calculate the derivative of the function of f(x) = /3x +1 (b)…

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Q: a) Find implicitly, if y°cosy +x = 2xy b) Define differentials also find derivative by using…

A: (2)(a) We have the given function as y2cosy+x2=2xy On using implicit differentiation, we get the…

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Q: x³sin?xcosx Find the second derivative of the function f (x) e-X(x-1)x

A:

Q: s(x)=(f(x))^3x what is the derivative of s at -1 g(x)= f(ln x) what is the derivative of g at e^2

A: Given The equations is  s(x)=f(x)3x   and  g(x)=f(ln x)

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Q: Calculate the derivative. x4 - 4 y = x² - 5 (Give an exact answer. Use symbolic notation and…

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Q: 5. Find the derivative of h(x)= cos(sin(cosx)). %3D 6. Find the derivative of h(x) = (e"cosx)². %3D

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Q: Determine the derivative of x2 + 2xy + y? = 10 implicitly. Determine the derivative of y sin x = x³…

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Q: 1. Use logarithmic differentiation to find the derivative of the function. y = x4 cos(x) 2. Use…

A: Here we have to find the derivative of the given functions using logarithmic differenciation.

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A: Given: a = 11…

Q: x d) f(x) = x² sin - R e) f(x) = x+₂ x-2

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Q: b. TRUE or FALSE. It is appropriate to use the chain rule to find the derivative of the function f…

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Q: Find the derivative of f (w) = 6 ln (w) + 15. Enclose arguments of functions, numerators, and…

A: f(w) = 6ln(w) + 15  Differentiating both sides w.r.t x, we get,

Q: Prob. 3 (a) (2) Compute the derivative of the function y = (b) ( sin x 1-x² ) Find the second…

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Q: 12 Find the derivative of f (y) = 5 tan (y) – Enclose arguments of functions, numerators, and…

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Q: Find the derivative of: -5e-3 cos(5x). [Hint: use product rule and chain rule!] Use e^x for e. 4…

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Q: a. Find the derivative function f for the function f. b. Find an equation of the line tangent to the…

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Q: (a) Find the second derivative of the function y = 2x² sin(x). (b) Find the derivative of the…

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Q: Find the derivative of the function r(x) = (ln(x2))

A: Given function  r(x) = ( ln (x 2))3 Derivative of r(x) is determined as shown below

Q: 9. [Essay] Find the derivative of y * sign 3a* (x? – 3x + 1).

A: Given function is: y=3axx2-3x+1 We have to find the derivative dy/dx. We will use the following…