What is the second derivative of f (x) =csch-(tan(x))2 A f"(x) =csc(x)cot(x) f"(x) =csc (x) sec (x) c) None of the given choices f"(x) = - sec2(x) f"(x) =-tan (x)

Q: Find the derivative of the function. Simplify where possible. y = (tan-'x)? y = tan-'(x²) y =…

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Q: Let 1(2) = sin(rz) (1- h)? + k :>: (a) Find values of h and k so that ƒ is a differentiable…

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Q: What is the first derivative of the following function: f(x) = (x³ + 2)4 O f'(x) = 12x²(x³ + 2)³ O…

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Q: Find the derivative of the given function. Infsech(x) + tanh(x)) 1) sechx+tanhr sinhx+1 sechx-tanhx…

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Q: Find the derivative of f(x) = In [sin(x) +x] Lsin(x)-x] %3D 2(sin x – x cos x) x2 - sin? x )2(x cosx…

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Q: 2. Find the derivative of the following functions: 5x + 6 (a) y = 8х — 1 )(",-) 2 8. - 8 (b) r =…

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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: y = [x + (x + sin2(x))ª]³ %3D

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Q: What is the second derivative of f (x) =csch¬'(tan(x))? A f"(x)=- sec2(x) B) None of the given…

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Q: Find the derivative and simplify fully. You MUST show all the steps clearly a) f(x) = 2e³x - 3 In…

A: Given: a. f(x)=2e3x-3ln(2x)b. f(x)=sin2(xlnx)c. f(x)=tan(lnx2+1) We are required to find: Derivative…

Q: In(cos(x)) cos(In(x)) Find the derivative of

A: Quotient Rule of differentiation: ddxuv=vdudx-udvdxv2

Q: "(x) = (sin(2æ + 1))²/*.

A: Consider the given function: Using the chain rule for differentiating the values in the function.

Q: Find the derivative of the given function. y = csc (1 – a²) CSC y = 5 csc" (1 – a)(- esc° (1 –…

A: Let's find.

Q: Find the derivative of each of the following functions, f(x)=sec(√x+cot(x)) a. F(x)= sec x sec (x +…

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Q: The derivative of tan(9*x) is (sec(9*x))2(9))   Can you tell me where the sec2 came from?

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Q: Find the derivative of the given function. COS ³ (1) g(x) = 2 cos3 O a) g'(x) = -3 cos² (sin() Ob)…

A: Given, g(x)=2 cos3x2

Q: f (x) = csc(cos(e*+1))

A: We have to find the derivatives of given function: fx=coseccose5x+1 We know following derivatives…

Q: i need to find the derivative

A: Given that the function is

Q: Find the derivative of f(x)= a.) f'(x) = b.) f'(x) = d.) f'(x) = 3cotx-3xcsc²x-2csc²x 5cot²x 3x + 2…

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Q: Find a function f that has the derivative f (x) and whose graph passes through the given point. f…

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Q: (b) Hint: sin(a + b) = sin(a) cos(b) + sin(b) cos(a) f (x) = sin(x) %3|

A: sin ( a + b ) =sin (a ) cos ( b ) + sin(b)cos(a)

Q: = If f(x) = f'(x) = ƒ'(5) = 4 tan x, then - sin(x)-4 sec² (x) Cos x

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Q: Find the derivative of the given function. g(x) = sec¹(2πx) a) g'(x) = 87 sec³ (2πx) tan(2x) Ob)…

A: I am attaching image so that you understand each and every step.

Q: If f(x) = (2x) , find the derivative of the function Or) = f'(x) = 3(x)0.5 f'(x) = -(x)0.5 f'(x) =…

A: 1)f(x)=(2x) -0.5 2)f(x)=(1+sinx)/(x+cosx).

Q: 1. Determine the derivative with respect to 'x' of: a) f(x) = 4cos(x³) - sinx b) f(x)=x² cos² (5x)…

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Q: f(x) = x(x - 9)2 (a) Make a sign diagram for the first derivative. f "(x) = 0 Vx E"x) = 0 F(x) = 0…

A: Here we will use product formula of derivative. d/dx ( uv) = u d/dx ( v) + v d/dx ( u)

Q: If f(z) = sec(9z), then ƒ'(x) = O-9csc² (92) -9csc(9x)cot (9x) 9tan² (92) O. 9sec(9z)tan(9z)

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Q: Find the derivative of y = ○ COS X 4 sin x - 4x cos x sin² x 4 sin x + 4x cos x sin² x 2 ○ 4x cos x…

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