Find the derivative of ƒ (x) = cos-1(In(4x²+1)).

Q: Find the derivative of the function f(x) = = sin(x) - 1 cos(2x) + 1 4

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Q: Find the derivative of f(x) = COS 4 log3 (x²) os(5x)

A: Explanation of the answer is as follows

Q: Evaluate the derivative of y = cos '2x - In 1-4x, where x = 0.125 -12> 2

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Q: Find the derivative of the function.

A: Given function is By using the properties of logarithm, ln(a/b)=ln(a)-ln(b) and ln(a^b)=bln(a), we…

Q: Find the derivative of g(x) = (cos(8x))3

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

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Q: Find the derivative of 2 cos x 1. f(x) x+1

A: As we know that: The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 Given: fx=2cosxx+1

Q: Find the derivative of k(x) = log3(x) cos

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Q: Find the derivative of y with respect to x 3tan-1x + sin-1x = 4

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Q: f(x) = cos (x – a -2).

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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: ; Compute the derivative of the function: f (x) = (+ Inx)² а.

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Q: Find the derivative of f(x) = 2(x² + 3x) cos(sin(x³)).

A: I have used product re and derived of composition of two function

Q: Find the derivative of f(x) = ln∣cos x∣.

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

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Q: Find the second derivative of f(x) * f(x) = cos² 7x

A: The given function is: fx=cos27x   As we know that; The Chain Rule: fgx'=f'gx·g'x The Product Rule:…

Q: Find the derivative of f(x) = x² cos r.

A: The given function fx=x2cosx Differentiate with respect to x using the product rule…

Q: Find the derivative of f(x) = Vx-7 tan-(x) + In a- 2.

A: We have to find the derivative of the function f(x)=x-7tan-1x+lnx-2.

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 sixth order derivative of the function f(x)=(x-5)^7.cos(5x) by using Leibnitz theorem.

A: n! = n × (n-1) × (n-2) × (n-3) × (n-4) × ............ × 1

Q: Compute the derivative using derivative rules. y= cos(1/x) / (1 +x 2)

A: Derivative: The rate of change of a function with respect to a variable. y=fxy'=limh→∞ f(x+h)-f(x)h

Q: Find the derivative of the function. y = x/2 − sin 2x/4

A: Given function is y=x2-sin2x4 We have to find derivative of given function. Differentiating the…

Q: Find the derivative of f(x) = -1 csc (cos r)

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Q: Find the derivative of the function.

A: Consider the given function as y=xtan-12x-14ln1+4x2

Q: 3/x +1 f(x) = X+2 at x = -1

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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: 3x g(x)=e* In(4x+1) (с)

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Q: Find the derivative of the function. • 2x2 g(x) = 1 dt 3 + t3 /tan x g'(x) =

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Q: find the derivative of the funciton y=xe^(5x)

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Q: f(x) = 2x² cos(r®)

A: Given Data: Function: f(x) = 2x2 cos(x5)   The product rule of differentiation is,

Q: Can you help me step by step?

A: To differentiate the given expression y=f(x)

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: Find the derivative of the function. f(x) = sin (4x) %3D

A: To find the derivative of the function.fx=sin-14x

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 10th-order derivative of the function y=(x2+4x+1)√ex at the point x=0.

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Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

Q: Find the derivative of f(x) = 9 sinh-' (x²) – 9 In ( Vx4 + 1). %3D

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Q: Find the derivative of y = x 1 cOS x 2

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Q: Find the derivative: f(x) = cos 1 + e8x 1- e6x – ebz f'(x) =

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Q: Find the derivative of h(x) = (1+ cos x)*

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Q: 8x+9 In(, x3 dx

A: Here we will sove derivative of given function,

Q: find the derivative of f(x)=(x^4+3x^2+8)cos

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Q: Find sixth order derivative of the function f(x) = (x – 5)7.cos(5x) by using %3D Leibnitz theorem.

A: If y=uv where, u and v are functions of x then un and vn denote the nth derivative of u and v with…

Q: Find the derivative of f(x) = ln v4 – x2 %3D

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Q: What is the derivative of the function B(x)=3/(x+2) at x=a?

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Q: Find the derivative using the definition 1- y = vx -1

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Q: Find the derivative of V(x) = ln(sin x) – (x4 – 3x)10

A: We can find the derivative as below.