Find the derivative of the function. y = 9 arcsin) – x/9 – x² Step 1 Rewrite the given function y = 9 arcsin) - xv9- - x? as y=9 arcsin(즉)-x(9 - x2)

Q: Find the derivative of the function g(x) = sech2 3x

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Q: Find the derivative of the function. y = 6sin(πx)

A: Formula:

Q: Find the derivative. Simplify where possible. y = sech - 1 ( e -x )

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Q: Зх-1 5. y = 2х+5

A: We will find the derivative by using the delta function.Below find the solution with details…

Q: Find the derivative of the function. 12) y = 2 secó x

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Q: 3x-x Tan 1-3x? х-х

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Q: A Find the derivative using the three-step rule. 1. y = 11-9x

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Q: Define the second derivative of f. If f(t) is the position  function of a particle, how can you…

A: Second derivative is derivative of the derivative.      Therefore,…

Q: Find the derivative of the function without using the Quotient Rule. y 63 8(x)10

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Q: Find the derivative of the function. h(x) = ex² - > x + 5 %3D

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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: Find the derivative of the function. y- tan-(V-8

A: In this question, we need to calculate the derivative of the given function.

Q: ind the derivative of the y= ((2x) +3)

A: To find the derivative of, y=2x+3

Q: Find the derivative of the function. Express it using positive exponents only. y…

A: For power 3, use the power rule. Then use the chain rule

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A: we have,  y=26-sec34x we have to find the tangent to the graph on the point (0,25)

Q: Find the derivative of the function. y = (tan-1(4x))2 y' = %3D

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Q: Find the derivative of the function. Express the answer using positive exponents only. y = (4x5 –…

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Q: Find the derivative of y=7tan^-1(x-(sqrt(1+x^2)

A: Chain rule:

Q: Find the derivative of the function. y = tan(4x2 + 3)

A: The given function is y=tan4x2 + 3

Q: Find the derivative of the function. 97 y = -xVZ

A: The objective is to find the derivative of the function y=x79-x2 This function can be rewritten as,…

Q: Find the derivative of the function. y = 3 tan-(x - V1+x²) II

A: Consider the given function

Q: Find the derivative.

A: Given: To find the derivative of y=2x-3-xx

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A: To find the derivative of the function, y=rr2+2

Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fg. Ix² Əy²

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Q: Find the derivative of the function. y=4arcsin(x/2)-xsqrt(4-x^2)

A: Here given  Use the product rule of derivative which states  Also, use the formula of the…

Q: Use the rules of differentiation to find the derivative of the function. y = -10 y' = %3D

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Q: 3. = 2x-y х+3у

A: We will differentiate the given problem with respect to x.

Q: Find the derivative of the function. "1(* - VI + x) y = 9 tan

A: derivative

Q: Find the derivative of the function. y = /x(x - 3)? y' = %3D

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Q: Find the derivative of the function. 2 + arcsin 5 () y = xV 36 - x² y' =

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Q: Estimate the derivative of the function f (x) = -3 at the point a = 3. %3D

A: Here given as fx=x3-3 Differentiate with respect to x f'x=ddxx3-3=ddxx3-ddx3=13

Q: -1 2.) у %3D tan -6.x4

A: To differentiate: y=tan-1(-6x4) Solution: We know, ddx(f(g(x)))=f'(g(x)).g'(x)…

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Q: Find the derivative of the function y 5sin(x)

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Q: Find the derivative of the function. y = xV4 - x2 + arcsin

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Q: Find the derivative of the function. y = xV 25- x2 + 25 arcsin 2

A: Follow next step

Q: Find the derivative of the function. y = In(xvx' - 5) y' = Submit Answer

A: Solve by derivative

Q: Find the derivative of f(x)=(sinxcosx)1/2

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A: The given function isx=2y-y2.

Q: Write the equation of the tangent to the graph of xy^3+xy=16, at the point (8,1).  Write all of…

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Q: Find the derivative of the function of: a) y=sec33x b) y=csc2(2x2)

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Q: Help to find the derivative of f(x)=1/4x. ?

A: given f(x)=14xwe have to find the derivative of given f(x)

Q: Find the derivative using the definition of the equation.

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Q: Find the derivative of the function y = sech 5x2

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Q: Find the derivative of the function. 12 X %3D

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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: Find the derivative of the function without using the Quotient Rule. y = 63 8(x)10

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: