Find derivative of the f(x) = sin-1*- 1 x+1 function

Q: Compute the derivative using derivative rules. y = sin(x2) cos(x2)

A: Given: y=sinx2cosx2

Q: Determine the derivative of tan − 1 (√1−x/1 + x)

A: we hav to determine the following derivative. For this we can put x = cos(thita)

Q: Compute the derivative of the function y = 5 sin-'(x) at the point x = (Use symbolic notation and…

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Q: Use logarithmic differentiation to find the derivative of the function. = (sin(7x))In(x) y' =

A: The given function is: y=sin(7x)ln x

Q: find the derivative  f(x)= square root of 1-sin2x

A: The given funtion is,

Q: Find the derivative of f(x) = 2 tan^-1(x) 6^x

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Q: find the derivative of   ( -10 sin(x) ) / ( 5x ** 2 - 10 sin(x) )

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Q: Find the derivative of: tan(x)/cosh(x)

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Q: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: 1. Find the derivative of f(x) = tan³(sinx) + %3D

A: The given function isf(x)=tan3(sinx)+x3+3x4

Q: Find the derivative f'(x): f(x)=x4-x2+sin-1x/3 **4-x2 is under a radical sign!

A: Consider the given function f (x) taking (4-x^2) under the radical sign. Differentiate f (x) w.r.t x…

Q: 3- Find the derivative of sinx +x /2+cos x.

A: The given function is fx=sinx+x2+cosx. The formula for differentiation for the sum of functions is…

Q: Derive the formula for the derivative with respect to x of csc x.

A: We will write cscx= 1/sinx  Then we will use the quotient rule to differentiate

Q: Find the derivative of f(x) = tan³(sinx) + +

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Q: Find the derivatives of the function f(x) from the first principle  sin2x

A: Answer and explanation is given below...

Q: Find the second derivative of the function 2 f(x) = sin (3x). Show your work.

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Q: Find fifth order derivative of the function f(x) = x*Sin (2x +1) by using Leibnitz theorem.

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Q: Find. the derivative of tan(x)). with respect to X 1- y3=

A: Explanation of the answer is as follows

Q: Find the derivative using logarithmic differentiation if sin^-1 (2x). y = (tan x) where 0 < x < 1/2…

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Q: Compute the derivative of f(x) = sin2x

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Q: Calculate the derivative of: cos-(8x) sin-(8x) f(x) f'(x) = 8|

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Q: Find the derivative of f(x)=[sin(3x)]^3

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Q: Use logarithmic differentiation to find the derivative of the function. y = (sin 3x)In x sin()…

A: Formula used:If (x) and g(x) are two differentiable functions, then following rules  are efined as;

Q: find the derivative f(x)=square root of 1-sin2x

A: The function f is in terms of x.Apply the chain rule and obtain the derivative of the given…

Q: Find the derivative of (sinx)2(sin-1x)2

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Q: 2. Sketch the graph of a tangent line of the function f(x) = at x = -1. And then find 1- x the…

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Q: find derivative of the U function 1-x f(x) = sec-1. 1+ x ーオ

A: Explanation of the answer is as follows

Q: Find the 73rd derivative of the function f(x) = 2 sin(x). f (73) (x)

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Q: Find the derivative of f (x) = -4 tan (x).

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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: 2. Determine the derivative of f(x) = sin-'(2x)

A: Topic = Derivative

Q: find the derivative of this inverse hyperbolic function f(x) = cosx tanh-1(sinx)

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Q: Using the Chain Rule, compute the first derivative of sin 1–x.

A: chain rule Let f(x) = g(h(x)) And let u = h(x) Using the above, function f may be written as: f(x) =…

Q: Derive the formula for the derivative with respect to x of sec x.

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Q: Use logarithmic differentiation to find the derivative of the function. y - (cos(4x))"

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Q: Find the derivative of f(x)=x2-3x. Use the result to find the slope of the tangent line to the curve…

A: Given: fx=x2-3x To Find: The derivative of the given function and the slope of the tangent line at…

Q: Find the derivative of f(x) = et tan( – 82° + 5a“). - f'(x) =

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Q: f(x) = 3 sin 1 (x²)

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Q: Find the derivative of: ln(sin-1x)

A: We need to find the derivative of ln(sin-1x).

Q: What is the derivative of f(x) = (tan^-1)((3+x)/(1-3x))

A: Given:f(x)=(x+3)arctan(x)1-3xf'(x)=ddx(x+3)arctan(x)1-3x=ddx(x+3)arctan(x)·(1-3x)-(x+3)arctan(x)·ddx…

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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Q: Use logarithmic differentiation to find the (3x + 1)* (x – 4) - derivative of f(x) (x2 + 1)° ·…

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Q: x² q(x) =- sin(x)

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Q: Find the derivative  f(x) = cos-1(3x) sin-1(3x)

A: To differentiate the function with respect to x.

Q: Find the derivative of the function f(x) = 6x2 - 6 cosx

A: the given function f(x)=6x2-6 cos x

Q: Find the derivative of F(x) = tan (5x + 7), by first principle of differentiation

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Q: f(x) = In(sin² x)

A: Given,           fx=lnsin2x

Q: Use logarithmic differentiation to find the derivative (3x + 1)*(x – 4) of f(x) = (x² + 1)° - sin(x)…

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Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx