find the derivative of a. f(x)= (x^4+3x)^-1 b. f(x)= cos^4x - 2x^2

Q: Given the equation x' = -4yf (x) + sin(y) + 1. Take the derivative for both sides of the equation…

A: Given equation is x3=-4yfx+siny+1 Product rule of differentiation states that: ddxuv=vddxu+uddxv…

Q: Find the derivative of f(x) = cos*(x) + cos(x) with no in final answer negative exponents

A: We know that the derivative of sinx= cosx and cosx=-sinx

Q: g(x) = 2x^6-5x^4+3x^3-x^2+8x-9

A: Given: g(x)=2x6-5x4+3x3-x2+8x-9 To find: The nth derivative of the function.

Q: Find the derivative of f(x) = (x-2x)2 A) f'(x) = 6x5 - 12x3+ 8x B) f'(x) = 6x5- 16x3 + 8x %3D C)…

A: Here we find the derivatives of function.

Q: find the derivative of  a. f(x)=x/x^2+(square root of 3x)^5 b. f(x)= (x-1)^3/x(x+3)^4

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Q: the derivative of a function f is given by f'(x)=((x^4)-1)/x^2. if f(1)=2, what is the value of…

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Q: Find the derivative of f(x) = e-2 / x^2

A: Consider the function fx=e-2x2 Here, the objective is to find the derivative of the function.

Q: Find the derivative of f(x) = -5x4+7-2x² a.) f'(x) = -20x³-4x-7-2x² b.) f'(x) = -20x³-4x-7-2x² In7…

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Q: Compute the derivative of y= [(x+1)/x^3-1)]^1/2

A: The given function is y=x+1x3-112. Obtain the derivative as follows.

Q: Compute the derivative of f(x)= (ex2 +e-x2 )/(ex2 -e-x2 )

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Q: Let f(x) = 2x ^ 3 – 7x + 3x ^ 7 – 2. Find the 4th order derivative evaluated at x=2. A

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Q: Find the third derivative of g(t) = t^2(2t+5)^4

A: Given that: The equation g ( t ) = t2 2t + 54 .

Q: Fill in the appropriate blanks for the derivatives of the given functions, then evaluate each…

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Q: Would you be able to find the derivative of the inverse of this function. (x^3+4x+4)^1/2=y.     a=3

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Q: Find the derivative of the following: 1. D, (x³) 2. D, (5x2) 3. D, (x – 2x*) 4. D, (x-2)(2x +3) 5.…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Calculate the derivative of h(x)= square root of x+1 when x=8 using alternate difference quotient

A: derivative of h(x)= square root of x+1 when x=8 using alternate difference quotient