1 Let f(x) sin -. Find f'(x)

Q: Let y = 2 ln x - 1/2x then the first derivative is....., the first order condition is..... and the…

A: Given: y=2 ln x-12x To Find:  To determine the first order derivative.To determine the first order…

Q: Find the derivative of f(x) = sin x²+ cos x if f'(2)

A: Given function is fx=sinx2+cosx. It is differentiated as follows by using the sum rule of…

Q: (5x) S sin(x) tan(x) .........

A:

Q: Find the 7th derivative of: f(x)=sin(x)cos(x) f’=? • • •

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Q: Compute the derivative. f(x) = (cos2 x)cosx

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Q: Va2 -x2 y=Arcsin + 6. X

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Q: sin

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

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

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

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

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Q: Compute the derivative of the function y = 7 sin¬'(x) at the point x = (Use symbolic notation and…

A: A detailed solution is given below

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

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Q: What is the derivative of x 3 sin(x)? Select one: (sin(x) + 3x cos(x)) 2 Зх 3 + cos(x) 2 Зх 3 2 O…

A: Derivative of the function

Q: Show that (x ln(x)) ‘ = 1 + ln(x) using the Product Rule for Differentiation.

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Q: ) Prove that tanh'x = tn/itx, X€ (-1,1) i) , Sinh 'x and tanh'x Find the derivative of coch'x

A: (1). We have to prove that:   tanh-1x=12ln1+x1-x

Q: Compute the derivative of the function y = 8 sin-(x) at the point x = ; (Use symbolic notation and…

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Q: 3) Determine the derivative of f (x) = (2x)53*. 4) Determine the derivative of f (x) = sin…

A: 1. By using u.v rule 2. By using chain rule

Q: Compute the derivative of the function y = 6 sin-'(x) at the point x = (Use symbolic notation and…

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Q: Find the second derivative of f (x) = 2 sin (3x). Enclose arguments of functions in parentheses. For…

A: Differentiate two times

Q: 2. Find the derivative of g(x) = 2x sin x.

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Q: Find the derivative f(x) = [sin(4* + x)][cos(x* + 4) %3D

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Q: Find the derivative of the function using y = sin3x using 4 step rule. a. b. Find the first…

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Q: What is the derivative of f(x) g(x) in terms of f and g? Compute the derivative of -sin(x) · 2x=1…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Compute the derivative of the function y = 8 sin-(x) at the point x = (Use symbolic notation and…

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Q: What is f(2022) (cos x), the 2022nd derivative of f(x) = cos x? COS X sin a sina

A: To find 2022nd derivative of f(x) = cos(x).

Q: Find the derivative of: -2 sin (2x"). Hint: sin (x) = [sin(x)]...so use the chain rule (twice Submit…

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Q: sinx In (2) co cos x

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

A: Topic = Derivative

Q: Find the derivative y = (2 – x²) cos x + 2x · sinx 2 sin x – sin x (2 – x²) 2 cos x – sin x (2 – x²)…

A: Differentiate wrt x

Q: cos X sin x + cosX

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Q: 2 cot x-3 sin²x sin x

A: NOTE: Refresh your page if you can't see any equations. .

Q: Compute the derivative of the function y = 6 cos- (4x) at the point x = (Use symbolic notation and…

A: Solution ) y = 6 cos-14x Differentiate with respect to x  y' = 6 d/dx (cos-14x) [ we know that  d/dx…

Q: find the first derivative of the function. F(x)= (1+sin2x/1-sin2x)^3

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

A: Derivative using quotient rule (f/g)'=(gf'-fg')/g2

Q: Find the derivative of the function y = sin^-1 x/sqrt 1 + x^2 – tan^-1 x. %3D

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Q: Using method of sub., find the Anti-derivative 1 x In x

A: detailed solution is given below

Q: 2) Find the derivative of f (x) = tan(1 + cos 3 x) 3) Find the derivative of f(x) = Vx3 – 4x2

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Q: How to find the anti derivative of sin(x)/cos^3(x)

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

A: We know, ddxsin-1(x)=11-x2

Q: Find the derivative of  f(x) = sin(arcsin x) / arctanx

A: Let u=sin(arcsinx)u'=cos(arcsinx)ddx(arcsinx)u'=cos(arcsinx)11-x2u'=cos(arcsinx)1-x2Let…

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

A: To differentiate the function with respect to x.

Q: 1+sin 2 x Find the derivative of f(x) 2 cos3 x

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Q: f(x) = In(sin² x)

A: Given,           fx=lnsin2x

Q: Find the function f(x) whose derivatives is sin x and whose graph passes through the point (0,2).…

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Q: 3 sin(x) +x² In(x) – 2x Find the derivative of f(x) = using derivative rules.

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Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: