Write a derivative formula for the function. x) 12.2(4.7*) x2 (12.2 ln(4.7) x-2) - 4.7 f'(x) = х

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

A: We have to solve

Q: 1+cscx 7. h(x)=- 1-cscx

A: Given the functionh(x)=1+cscx1−cscx

Q: ind the second derivative of ?=2+1/x

A: Given that: f(x)=2+1x

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

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

Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y =xvx² –…

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Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'…

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Q: for notes

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Q: 58. True or False The derivative of y = e²* is 2 (In 2) e²". Justify your answer.

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

A: Given : fx = 4x2-12x+1

Q: following

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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: 1. Please use this formula in finding the derivative of a given function. (. b. Find the derivative…

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Q: 100 The derivative of the function 1 is equal to ecos z

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Q: )Find the first derivative or f’(x) of the following functions using long method derivatives

A: Given function ,f(x)=x2+x+1we know that,dydx=lim△x→0△y△x=lim△x→0f(x+△x)-f(x)△xHere…

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

A: use differentiation and equation of tangent line.

Q: (a) f(x) = 2x7 – 3x4 – 41x? – 73 (b) f(x) = x cos x

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Q: )Find the first derivative or f’(x) of the following functions using long method derivatives

A: Given that:

Q: 5. Find the 25" derivative of y= In x. 6. Find the 100 derivative of y=e".

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Q: 6. f(x) = 3-*e*

A: given: f(x)=3-xex

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

A: Solution:- Differentiate with respect to x with the help of chain rule.

Q: What is the derivative of f(x) · g (x) in terms of f g? -1 Compute the derivative of -sin(x) · 2x…

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Q: 23. Find the derivative of the function. f(x) = 6sin?(-5x8) %3D f'(x) = %3D

A: Here is the solution of the given problem. Derivative: By chain rule

Q: 26.The derivative of a sum is the sum of the derivatives. AEalse. B.True

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

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Q: Find the derivative of the following functions: b). ?(?)=2tan^−1(?)−7?

A: To find the derivative of  y(x)=2tan-1(x)-7x

Q: find the derivative of f(x)=x^6e^xcos(x) use symbolic notation and fractions where needed

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Q: 6: Find the following derivatives. If you are using a derivative rule, state the rule or write the…

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

Q: Find the derivative of the function. s(x) = (x? - 1 s'(x) =

A: Given: s(x)=xx2−1x

Q: Determine the third derivative of y = In(2x + 3) Determine the third derivative of y = e(-x²/2)

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Q: 2. y = a Cos-1 (1 -2) + V2аx — х2 a

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Q: Find the derivative of ?=1?‾‾√y=1x. (The correct answer might not be in simplified form.)

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

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)

Q: Give the derivative formula for the function g(x) 2.8x12 = (x), 6

A: The given functions are,

Q: csc x The derivative of the function y = at x = 1 is equal to

A: We use the quotient rule

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

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Q: 5.) f (x) = 2x² – 3x – 5 Зх —

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Q: Find the 600th derivative of f(x) = xe−x.

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Q: 1 :) 100 is equal to The derivative of the function esin x

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Q: 4. Find the second derivative of the function. Simplify if possible. f (1) = 2+5

A: topic - derivative

Q: 5. e(2x- y) = 2x - y

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Q: What is the derivative of y = 8 cos x? -16 sin x -8 sin x 8 sin x 16 sin x

A: In this question, we need to find the derivative.

Q: 5. Find the second derivative of f(x) = arctan(2x"). (You do not need to simplify your answer.)

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Q: (x²+1)* Find the derivative with respect to x: y = In /1-x

A: The given function is: y=lnx2+151-x

Q: Solve the problem. Consider the function L satisfying L'(x) = – . Find the derivative D(L(x®).

A: Derivative of function

Q: 100 1 The derivative of the function is equal ecos x to

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Q: x2 + 1 x' + Find the derivative of the function f(x) = In

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Q: (x² + 4)(x – 2)² Vx +7 g(x) = In %3D Find the derivative of this function, g'(x).

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Q: h" (x). h(x) = xe h" (x) If , find Again, n means the "nth" derivative of h. NOT h(x) to the "nth"…

A: Given: hx=xe-x To determine: The "nth" derivative of h i.e. hnx.

Q: (c) Find an expression for the second derivative of 1/g(x) in terms of g, g', and g", explaining…

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