Compute the Indicated derivative. 7. f" (x) for f(x) = 5x2-14x + %3D

Q: 1) Find the derivative of the given function with respects to e 3tan ở In 3 y

A: Given

Q: 1. If y = x³ + x - 5 then what is the derivative of y with respect to x?

A: Derivative of a function

Q: 2 a) For the function f(x) = X-3 , find f'(1) by using the definition of derivative.

A:

Q: 1. Find the derivative of f(x)= x(a+1), given a is a constant.

A:

Q: 1. Determine the first derivative of the functions below with the rules for deriving the function:…

A: A Given function is y=4x3+32. Use formula ddxxn=nxn−1 Differentiate  y=4x3+32 by using the chain…

Q: Find the derivative of the function. (x) = e+2 + 3 f'(x) : II

A:

Q: 6) Use derivatives to find where the function is concave up f(x)=x.e2x*

A: If  f "(x) > 0  on an interval, then f(x) is concave up on that interval.

Q: 1. Use the definition of the derivative to find the derivative of the following functions. 1 (b)…

A: use definition of derivative to find the derivative of the following functions a) fx=x+2 it is known…

Q: following

A:

Q: Determine the first derivative of the ff. function y = ln| le* – 1/

A: We have to find the first derivative of the function: y=lnexex-1 We know the property of logarithm,…

Q: 6. Determine the derivative of the following functions. Do not simplify. (a) y = 2t° +t+ e² 2 (b) y…

A: Given:           (a) y=2t5+t+e2Differentiating with respect to…

Q: 5. By calculating a derivative, determine whether the following statement is true (or false): et et…

A:

Q: 30. Find the derivative of the function: y= xe™*

A: The given function is, y=x e-x The derivative of the product of the function u and v is given by:…

Q: 10) Find the second derivative of k(z) = 4 cscz.

A: Given: kz=4cosecz for finding second derivative of given function, we find first derivative then…

Q: find the derivative of y with respect to the givenindependent variable. y = 5√s

A: Given

Q: 1. f(x) =In (ta n"x)

A: Given query is to find the first derivative of the expression.

Q: 4. Find the second derivative for the following functions: a) (ans.:6x +

A: Derivatives

Q: 6. Find the second derivative, f"(x). (6) = f(x)

A: To find  The second derivative of f(x).

Q: Find where the first derivative is equal to 0. Er ****. lif

A: Introduction: The concept of critical point is very important in Calculus as it is used widely in…

Q: What is the Derivative of the following function; y = e-xsinh x

A: Our Aim is to find the derivative of y=e-x sinh(x)-(i)

Q: 4) Find the third derivative of g(x) = e*.

A: We will solve the problem

Q: - 5 then what is the derivative of y with respect to x?

A:

Q: Evaluate the derivative of the function y = 2tan ",²+In (e +e).

A:

Q: f (x) = 1

A:

Q: (3e)® arctan (3x³) In(e2«) arccos(5x) 1. Find the derivative of f (x)

A:

Q: 16. Find the derivative of the following function. 6x f(x) = 5e 7x f'(x) =

A:

Q: 8) f(x)= T+x²

A:

Q: 3. Find the second derivative of f (x) = e²/*° and fully simplify your answer.

A: fx=e2x3

Q: 4) Find the following derivatives using derivative rules, not the definition. a) f(x) =x -3F+5

A:

Q: 10. Find the particular antiderivative of the derivative f'(x) = 3x-1 – x-2 where f(1) = 5.

A:

Q: Find the derivative of the function. h(x) ető - x + 1 ets

A: hx=ex8-x+1

Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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Q: 3.) f (x) 3 5х — 3

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Q: Compute the indicated derivative. d + x)(x5 – x)]. dx x = 1

A:

Q: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

Q: 4. Find the derivative of the following function. y = x*

A:

Q: 2. Determine the 8th derivative of y with respect to x of the function 1 f(x) = 1+x2 and find the…

A: Taylor series

Q: 8. Find the derivative of the function (t)= 3sin(arccost)

A:

Q: 3 5.) y = ; x+5

A: Given:- y = 3/(x+5) y = 3(x+5)-1 Using Formula : [f(x)g(x)]' = f(x)g(x)' + g(x)f(x)' Now, y' =…

Q: 8 Find the derivative of f( x ) = x° log, (x + 3). f'(x) : = (x).f

A:

Q: 7. Find the derivative of the function y = 5² + %3D y = eTextbook and Media Save for Later

A: Given that y=5x+7x3

Q: 24. Find the first order derivative with respect to x of the function u = log(x+ x .

A: The solution for the above question is as shown below.

Q: Find the second derivative f"(x) for f(x) = e(#+2)*.

A: First calculate the first derivative for f(x) using the chain rule.…

Q: Find the (a) true error and (b) relative error of the following: The derivative of f(x) = ln x at x…

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Q: 4. The derivative of the function f(x) = r +3) is

A:

Q: Find the derivative of the function y = csch−1 (1 − x)

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Q: Monday, 1) Find the derivative of the given function with respects to e y = 3lan® In 3

A:

Q: Find the derivative of the function f(x) below. f(x)=ln(5−e^(−4x)) f′(x)=

A: Explanation: Given that, f(x)=ln(5-e-4x) Differentiate both sides with respect to x.…

Q: y=x4Inx

A: Topic = Derivative