) Find the derivative of the following: a) sin (4x- 7x+ 3)

Q: 1 FIND THE DERIVATIVE OF EACH FUNCT'ON. 1.) y= sin () a.) y= Tan( 3x) 3.) y= Cos( 3

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: When f(0)=0 and f(pi)=0, what is the derivative of the function  7e^x + 6sin(x), and what is the…

A: Let the given function be:Applying the derivative with respect to x:Derivative of ex is ex and the…

Q: Find the derivative of g(x) = In(sin²(ed/x)).

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Q: 10. Find the derivative of y = cos /sin(tan 7x)

A: We will find the derivative using Chain rule

Q: Find the derivative of the following. y = -1/3tan3 x - sin2(2x)/tan x - cos2(2x) cot x +4

A: Differentiation of the function can be found with the help of the differentiation formula.…

Q: The derivative of In (cos x) is

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Q: Find the derivatives of the functions defined as

A: Consider the function: y=tan xx-1. Find the derivative of y. Apply quotient rule of derivative that…

Q: f(x) = e2 sin¯+(3x) + In (cosh-1(e³x))

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Q: 4. Find the derivative of the following function. 1+ sin x 8(x) = 1+ cos x

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Q: Find the derivative of y with respect to x. 1 y = cot 16x² - 1 + sec - 1 2 - 1 4x, 4

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Q: Find the derivative of O 2sec 2x 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

A: I have stated the used formulas in the solution

Q: Make a conjecture about the derivative by calculating the first few derivatives and observing the…

A: Here, to make a conjecture about the derivative by calculating the first few derivatives. ddx(sin…

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

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Q: Find the derivative of y with respect to 0. y= 30( sin (In (30)) + cos ( In (30))) de (Use…

A: topic- derivative of a function

Q: What is the derivative of cos2t

A: Formulas used

Q: what is the derivative of arctan(u/1+4u)

A: To determine the first order derivative of the provided function.

Q: The derivative of sec22x(cos2x−sin2x) with respect to x is?

A: I have appended the formula used in the solution part of the question

Q: 1. Find the derivative of the following sin² x cos² x a)y + 1+cotx 1+tan x

A: We have to find derivative of given trigonometric term.

Q: du (Cin- In 1+x² 2

A:

Q: : (A) By using the definition of derivative, prove that (answer only one): d d (secx) = = secx tanx…

A: As in question asked to answer only one therefore I am answering only first question.

Q: (1+x²-1) y = tan²¹ / √₁+x²

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Q: What is the derivative of sin(2x) at the point (0,0)? O 2 O -2 O 4

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Q: find the derivative of f(x) = cos(sin(4x+7)^4). simplify

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Q: (a) Find the derivative of the function g(x) = sin2 x + cos2 x (b) then use a trigonometric…

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Q: Find the derivative of f(θ)=(sinθ/1+cosθ)^2

A: differentiate wrt theta

Q: find the derivative of the funtions: 1. sin (√x Inx) 2. (d2/dx2)(xArctanx)

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Q: Find the second derivative of f (z) = 6 sin (5z). %3D Enclose arguments of functions in parentheses.…

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Q: Find the 44th derivative of the foaction f = cos Cx) COs() %3D answer:

A: Answer

Q: · f(x) = sin(In r²) %3D

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Q: Prove that d/dx(cos x) = −sin⁡ x using the definition of the derivative.

A: Given: fx=cosx   As we know from the definition of the derivative; The expression for the derivative…

Q: tan (2x) 3. y = sin (5x–1)

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Q: b) Use implicit differentiation to find for the equation yz? -e** cos (4zx)–3y² =4. F. DO NOT use…

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Q: Find the derivative of y with respect to x. y = In (tan -1 (9x5))

A: Given : y=lntan-19x5

Q: Without evaluating derivatives, which of the following func- tions have the same derivative: f(x) =…

A: Given: fx=sin2x, gx=-cos2x, hx=2sin2x, px=1cosec2x For finding which function have same derivatives,…

Q: Find the derivative of y with respect to s. (56° +3) У3 sec

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Q: Find the derivative of flx)=Sin(7x'+91Cos(3x?)

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Q: What is the derivative of V sech ( In(3x))

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Q: calculate the derivative with respect to x.

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Q: Find the derivative of y with respect to the independent variable. y%3D(In 60)

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Q: 5. Find the derivative of h(x) = cos(sin(cosx)).

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Q: Find the derivative of y = /sin (7x + In(5x)) %3D

A: Here we have to find derivative of given function.

Q: Find the derivative of: – 6 sin? (3x®). Hint: sin (x) = [sin(x)]²...so use the chain rule (twice!).

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Q: Find the derivative of the following. y = 1/2 tan x sin (2x) + cos (2x)

A: Given function is y=12tanx sin2x+cos2x. Solution: Product rule of differentiation states that:…

Q: Use the theorems on derivatives to find the derivative of the following function:   y = (cos(x))2 +…

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Q: Find the derivative of the function f(x) = x sin(6x + 14)+ In(5z+9) Answer:

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Q: Which of the following formulas must be used to find the derivative of (tan²x)? sec

A: Y=sec(tan^2(x))

Q: d cos 2x – x³ dx 3+ tanh x

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Q: What is the derivative of : ln cos 3x

A: