[sinhc(x + 7)| In(x- 4x + 13) + sin(x) b. dx

Q: Compute the following derivative: 1 -3/x dx sin(x)

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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: Find the second order derivatives of the following functions Ax) (i)cos°x (i) sin x 3

A: To find the second order derivatives of the following functions. (i). Given function fx=cos3x. Power…

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

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Q: Find the derivatives of the functions

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Q: Find the derivative of the trigonometric function.

A: Given :           h(x) = sin 2x cos 2x   To find h'(x)

Q: Find the derivative of the function.

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Q: 7. Find the derivatives of y = cos- (sin(2x)) (show work)

A: Using derivatives of composite function. Or Using trigonometric transformation.

Q: Find the second order derivatives of the function cos3x

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Q: Is it possible to evaluate the anti-derivative below? | (x + 1) cOS (2x) cos (x2) dx

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Q: Find the second derivative of the following  a .) 2x^3- 1/2x b.) Cos(x^2)

A: The given functions are  a) 2x3 - 1/(2x) b) cos(x2)

Q: compute the derivative y = sin(2x) cos2 x

A: Given y=sin(2x)cos2x The product rule of derivative is given by:

Q: Use the first principles to find the derivative of cos(x -4x).

A: By the first principle  f'(x)=limh→0f(x+h)-f(x)h. So, dcosx2-4xdx=limh→0cosx+h2-4x+h-cosx2-4xh…

Q: Which is the derivative of y= sin (x2-2x + 1)? (2х -2) (2x-2)Cos(x²-2x + 1)

A: We have to find derivative

Q: Find the derivative of the following: 1. y=x(V1- x³ ) 1+x 2. у-. 1-x (x³+5) V4-x² 3. у — x*-x2+6 sin…

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

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Q: Find the 75th derivative of y=cos(2x)

A: Given function y=cos2x The 75th derivative has to be founded  first consider the smaller…

Q: compute the derivative. y = sin(2x) cos2 x

A: We can find the derivative of this function by using the product rule of differentiation . According…

Q: Find the derivative of k(a)=sin^2a(cos^8a) k′(a)=

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Q: 4) a) Determine the simplified expression for the 623rd derivative for the function f(x) =cos(2x)…

A: a)   fx=cos2x+sin2π     =cos2x+0      = cos2x

Q: esin 2x [In (cos 2x)]?

A: Given: fx=esin2xlncos2x2   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Chain rule:…

Q: 2) Find the derivative of the following: c) cos 2x - 3) In(8x - 5x +2)

A: Given:         cos(2x−3)ln(8x2−5x+2)

Q: Find the derivative of each function h(x) = 2x³ In x h(x) = 6e*(1 –- 5x) g(x) = 3 sin x cos x + 2x…

A: Given, The functions  hx = 2x3 lnx  hx = 6ex1-5x  gx = 3sinx cosx +2x  We have to find the…

Q: The derivatives of sin- 1 x and cos- 1 x are negatives of each other.

A: From the question it's not clear, what do you want us to do with it. I assume that you want to know…

Q: Q2) Apply the differentiation rules to find the derivatives of: Inx 5 (a) y=x*.e*+2- Inx- cosx (b)…

A: Solve the following

Q: 83. Find the 50th derivative of y = cos 2x.

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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 25th derivative of g (0) = cos(40 + a) where a is a real valued constant.

A: The given function is: g(θ)=cos(4θ+α)

Q: Find the derivatives of the function defined as follows.

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Q: 4. Find the derivative of the following function. 1+ sinx g(x) = - V1+ cos x

A: Given: gx=1+sinx1+cosx for finding derivative of given function, first we simplify given expression…

Q: g(x) = cos ¹x+ 1-x

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Q: Find the derivative of y with respect to x, and 0 as appropriate: y = 6(sin (In 6) + cos (In 6) а.)

A: Given equation is: y=θsinlnθ+coslnθ Differentiate each term of y with respect to θ:…

Q: Find the derivative of the function. "sin(x) In(7 + 9v) dv /cos(x) y'(x) =

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Q: find the first & second derivative of fox)=e 2. Cosx.

A: Given: The function fx=x2excosx, To find: First and second derivative of given function fx.

Q: (a) Find the derivative of cos(1+x²).

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Q: (A) Find the first derivative of the following function: 1+ cos2x f(x) = %3D 1- cos2x |

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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: Find the derivatives of the functions defined as follows.

A: Given, y=-cos2x+cosπ6

Q: 29. Prove the following derivatives by using the definition of derivative. (a) (") = n. dx nxn-1

A: topic - derivative and limits

Q: Find the first derivative dy/dx of the following. Simplify. 1– x3 y = In 1+ x3

A: To Find the first derivative dydx of the function and simplify Given the function y = ln 1-x31+x3 y…

Q: Find the following derivatives of the following function f(x) from the principal sin2x

A: We have to find the derivatives of the function from first principal: fx=sin 2x We know derivatives…

Q: 2. Find the first derivative of the following expression: f(x) = (x2 + 1)sin a

A: take derivative  use the exponent rule

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 a. (e(sin2x))/[In(cos2x)]2

A: We have to find out derivative

Q: Find the first derivative of the function y = In[tan (pi/4 + x/2)

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Q: d cos 2x – x³ dx 3+ tanh x

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Q: Compute the derivative of the given function. f (x) 10x-1/4 cos e + 7 sin a %3D -

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