Use derivative nules to determine first derivatives Of any the following functions. You do not need to simplify. a) f(x) = 2x5-2

Q: Use the derivative formula to find the derivatives of the following function. Show all work or…

A: We have  y=x13

Q: Find the derivative of h(x) tan 3x+cot 3x

A: Solving the problem by finding the derivative of the function.

Q: Use the definition of the derivative equation (f(x+h)-f(x))/h) to find the derivative of (1/x).

A: The definition of derivative is given by,

Q: Find the derivative of the function. Simplify where possible. – tan""(x – /1 + x² ) %3D

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Q: Find the derivative of f(x) = (-x³ - 2x² - 2x) sin(x). Do not include "f'(x) =" in your answer.…

A: Topic = Derivative

Q: Find the derivative of the function. Simplify where possible: y=xcos^-1x-sqrt(1-x^2)

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Q: ) CSC x 2.) b(x) = In(- x4 %3D

A: firstly use the logarithmic identity to simplify the given expression by using these formulaes:-…

Q: Use the rules for derivatives to find the derivative of function defined as follows. ƒ(x) = e2x…

A: We have to find the derivative of the function: fx=e2xlnxex+1 We know the rule and formula of…

Q: What is the derivative of f(x)=−3? Do not include "f′(x)=" in your answer. For example, if you found…

A: Formula:The derivative of a constant function is zero.

Q: Evaluate the derivative of the following function. ƒ1x2= tan-1 10x

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Q: 6. xsinx

A: Given   xsinx     let y=xsinx     -1Taking 1n both sides, and using      1n mn=n1nm    1ny…

Q: Determine the derivative of the following function. Do not simplify.  y = (x - 2)3√2x-1 (sqaure…

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Q: Use the definition of the derivative to find the value of f'(2) if f(x)=x'-2x. Then use it to write…

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Q: Find the second derivative for the functions defined as follows ƒ(x) = (x2 - 1)2

A: Given function: fx=x2-12 fx=x4-2x2+1 Differentiate the equation w.r.t "x"…

Q: Find the derivatives of the follow ing functions with respect to x. x = tan (e"

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Q: Find the derivative of the function. Simplify where possible: y=tan^-1(x-sqrt(1+x^2))

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Q: If f(x) = use the definition of the derivative to find f.

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Q: Find the first derivative for the following function. Do not simplify. a) f(x) = (2x² + 4)(x* – 3x)

A: Given: (1)     f(x) = 2x3+4x4-3x (2)     f(x) = 1+cotx  2cosx

Q: Use the definition of the derivative to find the derivative of the function f(x) then find the slope…

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Q: 3, g(æ) = (x? + 1)°(x² + 2)"

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

Q: What is the derivative of the following function

A: Given that: 1. h(y)=y1-ey2. f(t)=1+5tln(t)

Q: By using the first principle, find the derivative of the following functions. 1.  f (x) = x^2 - x

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Q: Find the derivative of the following functions and simply it whenever possible. 3. y =…

A: This is a problem related to derivative of the function. Based on the general formula of the…

Q: f(x) = 2 tan-(x) – 4"

A: Please refer the attached image for complete solution.

Q: Given the derivative f'(x), find the x-value for all relative extreme for the graph of the original…

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Q: Suppose 8 (x) =sec='(x<). what is the derivative of g with respect to x?

A: We can find the answer as below.

Q: Use the rules for derivatives to find the derivative of function defined as follows. y = -4x-3

A: Given: y=-4x-3

Q: Find the derivative of the following function at the indicated point from the graph of y=​f(x)…

A: Find the derivative at the given point

Q: 1+x y = 3-x2 ||

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: (x)

A: we have to find the derivative of the following functions using the different differentiation…

Q: Find the derivative of the function two ways: by simplifying the function first and by using the…

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Q: 3. ソ=eCosx

A: To find the derivative: y=ecosx Solution: y=ecosx On differentiating both sides w.r.t x we get:…

Q: Evaluate the derivative of the following function. f(x) = csc-1(tan ex)

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Q: Find the derivative of the function   in two ways: by using the Quotient Rule and by…

A: x4−5x3+xx2 Given function f(x)=ddx[x4−5x3+xx2] Recall Quotient Rule  ddxxy=ydxdx-xdydxy2

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: To find the derivative at x=c of f(x).

Q: Use the Quotient Rule to find the derivative of the function. g(x) 3 sin x et g'(x) = 3e³cos(x) - 3e…

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Q: Find the derivative of f(x) = log, (3x4 − 2x²) at the point x = 3. Enter an exact answer. Provide…

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the function g(x) = x4 cot x +…

A: Solution:-  g(x) =x4cotx+3x cosx differentiate with respect to x.

Q: Find the derivative of this function. 9x/(8-tan(x))

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Q: Use the theorems on derivatives to find the derivative of the following function:   f(x) = 3x2cosx +…

A: Given function is  We know that according to product rule of differentiation, we have (uv)'=uv'+vu'

Q: Find the derivative of the following function by applying the appropriate derivative rules. f(x) =…

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Q: Find the derivative of f(x) = (-x6 - 3x² - 6x) sin(x). Provide your answer below: f'(x)=[

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Q: Find the derivative of f(x) = (-x3 - 2x² - 2x) sin (x). Do not include "f'(x) =" in your answer.…

A: The given function is: fx=-x3-2x2-2xsinx   As we know that; The Power Law: ddxxn=nxn-1 The Product…

Q: Find the derivative of the following function f(x)=2x-1 using the definition of the derivative Show…

A: y=2x-1

Q: When given a function f(x), describe (in common language) what the derivative function f'(x) is and…

A: Solution 1:   The derivative of a function f(x) of a variable x is a measure of the rate at which…

Q: .If f(2) = 3 and f'(2) = 5, find an equation of the tangent line at the point where x=2.

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Q: Find the derivative of the following function by definition (from first principle): f(X)=1-x/2x

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Q: Find the derivative of f(x) = cot^−1(x^2 + 3)

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Q: Find the derivative of the function. Simplify where possible: 32) y=tan^-1(x-(sqrt(1+x^2)))

A: some important Derivatives :   1. ddxtan-1x = 11+x22. ddxxn = n*xn-13. ddxx = 12x4.ddxconstant = 0

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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