Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the derivative does not exist at c, entel UNL h(x) = |x + 21, c = -2 h'(-2) =

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y= ln x3

A: Given:

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

A: Here the given function  hx=x+2, c=-2 The function can be written as hx=x+2,x≥-2-x-2,x≤-2

Q: Find the derivative of the function.

A: To Find the derivative of the function. y = ln sec x + tan x

Q: Find the derivative of y with respect to x if y = (11x2 - 22x+ 22) ex.

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Q: Use the chain rule to find the derivative of the function z = x2y3 − x along the curve given by x =…

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Q: find the derivative of y with respect to the appropriatevariable. y = tan-1√(x2 - 1) + csc-1 x, x…

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Q: find the derivative of y with respect to the appropriate variable.31. y = cos-1 x - x sech-1 x…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: find the derivative of y with respect to the appropriatevariable. y = csch-1 (1/2)θ

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Q: Find the derivative with respect to the independent variable. f(x) = cos (- 23x) f'(x) =

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Q: Evaluate the derivative at x = 1 for y = In ()

A: For a function f its derivative is defined as f'(x)=limh→0f(x+h)-f(x)h. For some standard functions…

Q: Find the derivative of each function at the specified value of x.

A: We have to find the derivative of the function at the given value of x: gx=ex sinπx, when x=0. We…

Q: Compute the derivative using derivative rules.

A: Explanation Given that,  y=(kx+b)-13   Differentiate with respect to x both the sides…

Q: find the derivative of y with respect to the appropriatevariable. y = sec-1 5s

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Q: eリ- + 2y eTy x° +

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Q: X+3

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Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: Find the derivative with respect to t. y= csc-1(et)

A: Given:

Q: Find the second implicit derivative of the given using implicit differention y2-3x+2y=0

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Q: What is the derivative of the function with respect to x of (x + 1)³ – æ° -

A: Given : Function x+13 - x3   To find : Derivative of the given function with respect to x?

Q: Find the derivative with respect to x: y = tan(Vx2 – 1) + csc-(x),x > 1

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Q: find the derivative of y with respect to the appropriatevariable. y = cos-1 (x2)

A: Given function is y=cos-1x2. Chain rule of differentiation states that: ddxfgx=f'gx·g'x…

Q: Find the derivative of the function. f(x) = 6√x + 5 cos x

A: To find the derivative of the given function f(x).

Q: find the derivative of y with respect to the appropriatevariable. y = cos-1 (1/x)

A: To find dydx, rewrite the equation and then differentiate with respect to x.…

Q: Find the derivative of y with respect to x.

A: Assume z=x^5+1. Then found derivative dy/dx using the chain rule.

Q: find the derivative of y with respect to the appropriatevariable. = cosh-1 2√x + 1

A: Given: y=cosh-12x+1Here ,we havecoshy=2x+1Taking the derivatives on both…

Q: Find the derivative of the function. y = (( 1- cos 2x ) /( 1+ cos 2x ))4

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Q: (3x+4` x² +5, y = tan

A: We know that d(tanx)dx = sec2(x) Now we will apply chain rule , Here we have    y = tan3x+4x2 +…

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = (x2 ln x)4

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Q: Find the derivative of the function. h(x) = x² arctan(8x) %3D

A: To find the derivative of hx=x2tan-18x

Q: Find the derivative of y with respect te X /3 %3D

A: Finding dy/dx

Q: Find the derivative of y with respect to x.

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Q: Find the derivative of the function. y = tan−1 (square root of x - 4)

A: Consider the given function. y=tan-1x-4 The objective of the problem is to find the derivative of…

Q: Find the derivative of y with respect to x. 1, 1+x2 In 1- x3 y

A: If you have function f(x) in the numerator and the function g(x) in the denominator, then the…

Q: Give the derivative of f(x) arctan an(e³*) at the point where x = 0.

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Q: Find the derivative of flx) = x 1x \ - Does plo) exist

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Q: Find the derivative of the function y=cos(3 In x).

A: Given y=cos(3lnx)

Q: y = cof'/ x2-1 x²+

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Q: Find the derivative of y with respect to x. 2x + 3 26) y = sec-1

A: Let, z=(2x+3)/5   We differentiate using the chain rule

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

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Q: find the derivative of y with respect to the appropriatevariable. y = sec-1 (2s + 1)

A: The given function is y=sec-12s+1.

Q: Find the derivative of the following using the three-step rule 2. y=Va² +x

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Q: Find the derivative of the function.

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Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (cos2 θ)

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Q: Find derivatives of f(x) = {x+- 1 and find the line tangent to it when x = 1

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Q: Find the derivative of y with respect to x. y=ln(tan-1(4x5))

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Q: -5

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Q: Find the derivative of y with respect to x. 58)y tan (In 2x)

A: Firstly, we use the result that  derivative of inverse of tan of x is 1/1+x^2

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln 3x + x

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Q: find the derivative of y with respect to the givenindependent variable. y = 3-x

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