7 Find the derivative of f(x) 4/ + x4 Type your answer without fractional or negative exponents. Use sqrt(x) for vx. f'(x)

Q: y = In (x* + 5)³

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Q: 1) Using method of logarithmic differentiation, find the derivative of y = (2.x² + 1)(2=-3)

A: Given: Y = (2x2+1)(2x-3)

Q: 3x y=3- + Arccos V8-x3

A: We have to find out the first derivative  .

Q: Calculate the derivative of f(x) = sinh (x²). (Use symbolic notation and fractions where needed.)…

A: Using chain rule of differentiation.

Q: 6. Determine the 19th derivative of the function y=sin(x). Fully explain the process you used to…

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

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Q: 8 Find the derivative of: 2/x + x3 Type your answer without fractional or negative exponents. Use…

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Q: Compute the derivative of the function y = 7 sin-(x) at the point x 3 (Use symbolic notation and…

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Q: 10) Using the First Derivative Test, what are the local extrema for the function 5(x)==x²+10 x³…

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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: Can you help me with this problem step by step?

A: The equation is given by

Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: What is the derivative of f(x)=3cos(x)+2sin(x) at the point x=−π

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Q: 4. Find the 2nd derivative of f(x)=14-x (x)%3D

A: The give function is fx=4-x

Q: 1. Calculate the derivative of f (x) = (sin (x) +2)®5 %3| showing all your work. 2. Calculate the…

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

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

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Q: 6. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to…

A: By using differentiation. and definition of tangent at point.

Q: 8.) f(x) = !

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Q: Find the derivative if f(x)= ((x/2) + (x √x))ex

A: The given function is fx=x2+xxex. Obtain the derivative as follows.

Q: 10)Find the first derivative or f’(x) of the following functions using long method derivatives

A: We need to find derivative of given function.

Q: Use the sign of the derivative to establish the inequaltiy ln(1 + x) > x − x2 2 , ∀x >0

A: SOLUTION-

Q: 3. Find the derivative of f (x) tan (5x + 7), by first principle of differentiation

A: Given function is By first principle of differentiation, we have

Q: 3) Find the second derivative of 2x f(x) = for x + 0 3x2+4x Show all steps. Simplify your answer as…

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Q: 4) Use the Chain Rule instead of the Quotient Rule. 4 Find the derivative y= 2x +1

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Q: 5. Use logarithmic differentiation to find the derivative of the function. (x2+1) tan2 x ソ= x3

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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) Use the definition of derivative (do NOT use the short cut method) to find_ƒ'(x) given that f(x)…

A: This question is based on finding slope using definition of derivative.

Q: 3. Give the definition of a derivative of a function f of one variable at a point xo. /2 Find the…

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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: 10. Find the first derivative: f(x) = (x³ + 2x) In x %3D

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Q: 7 Find the derivative of f(x) = 2 - %3D Type your answer without fractional or negative exponents.…

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Q: 2. Evaluate derivative of the following function applying rules of differentiation: 7- 2x S(x) (Зх —…

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Q: Find the derivative of f(x) = ln(2x^3 + x).

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Q: nd derivative of f(x) = x In(x)

A: We have to find the second derivative of the given function

Q: 32. Using one-sided derivatives, show that the function f(4) = { 3x, x>1 does not have a derivative…

A: Given: fx=x3,   x≤13x,   x>1 To Find: To show that the given function does not have a derivative…

Q: 14. Find the derivative of the function using the definition of derivative. f (x) = V1 – x

A: Derivatives

Q: 4. When finding the derivative of a fraction you have to use the Quotient Rule. 5. The derivative of…

A: 4. when finding the derivative of a fraction you have to use the quotient rule.5. The derivative of…

Q: 31. Using one-sided derivatives, show that the function f(x) = {2. [x² +x, | 3х — 2, х> 1 does not…

A: Given: fx=x2+x     , x≤13x-2   ,  x>1

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: 4 Find the derivative of: – 9/x - Type your answer without fractional or negative exponents. Use…

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Q: 13 Use the power rule to find the derivative of f(x) = 'Vx.

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Q: Find the derivative of f(x) = 3/x at x = 3 by using the definition of derivative. Note that you will…

A: Given,f(x) = 3x at x = 3

Q: 27. Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Derivative of the function f(x) is given by

Q: 8) Find the first derivative of f (x) = sin 2 (x3).

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Q: Find the value of the derivative of the function f (x) = 16 - |x| at the extremum point ( 0, 16)

A: We have to find the value of derivative of the function f(x) = 16 - |x| at the extremum point…

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