What is the definition of the derivative of g(t)? Let h(k) = 3k² - 4k + 1 Use the definition of the derivative to obtain a formula for h'(k).

Q: 1/x using the definition o

A: we have to find the derivative of f(x) using the first principal. f(x)=x+1x

Q: I understand the conditions under which a function is differentiable. Is there a function, let's…

A: It's impossible to find a function for which we can't find the derivative. Mathematically you can…

Q: the derivative of E(q) is-(q*(q^2-1))^-1. what's its global maximum and global minimum. Thank you!

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Q: Please find the derivative of y = (x - xcosx)^(-1/5). I keep getting stuck with the inside function

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Q: . Find the equation of a line tangent to the graph of f (x) = cotx at x = T/4. .Find the derivative…

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Q: y = In- e 2x+1

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Q: Your job is to estimate this special base. In other words, estimate the value of b for which, at…

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Q: Find the first derivative of f(x) = e3r

A: To find the first derivative of fx=x3e3x. Solution: Quotient rule of derivative states that:…

Q: In x se the second derivative test to find the local extrema for the function f (x) = x3 •

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Q: Use a quick approximation to estimate the derivative of the given function at the indicated point.…

A: Given: fx=x22+x4 To find: f'(3)

Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

Q: 1 Find the first derivative given that f(x) = xdx +

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Q: Find the derivative of the function f(x) = coth−1(x2)

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Q: 2) Find the first derivative: a) y = cot * (3x² +7)

A: Differentiate wrt x

Q: What is the derivative of the function with respect to x of (x + 1)³ – æ° -

A: Given : Function x+13 - x3   To find : Derivative of the given function with respect to x?

Q: 4. g(x) = 4x³ log, x

A: Hello! Thank you for your question. We’ll answer the first question since the exact one wasn’t…

Q: fx て (X)

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Q: 3. Calculate the derivative of the following functions. For this problem only, do not simplify your…

A: Given:          y=lnx2esin2x              =2lnxesin2x   differentiating on both sides…

Q: The folowing is a reworded question from very last night . A printed solution of  a length of curve…

A: To find the correct integrand to evaluate the length

Q: Match the graph of the above function with the graph of its derivative. 0 ㅇ O 수 +

A: The given graph of the function is the graph of a semi circle. Or positive side of the circle.

Q: Find the derivative of f(x) = 6 sin¯¹(x + 4). You do not have to expand out your answer. ƒ'(x) =

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Q: 1 Find the function whose derivative is (x+1)-

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Q: On what interval is the function f(x)=x^2e^x concave downward?

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Q: f (x) = cos-(sin(x² + 3х))

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Q: explain to me details what is Distinguish Between Partial Derivative and Ordinary Derivative ?

A: Given

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

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Q: Find the derivative of the function two ways: by simplifying the function first and by using the…

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Q: at x: つ:8ー5x, atx=e

A: Given:  F(x) = x3 - 5x ...(1)       and the…

Q: Find the derivative for x+1 a)f(x)=- x-4 b)f(x)= sin' 2x Show the work on your notebook, take a…

A: (a) To find: The derivative of fx=x+1x2-4. Formula used: Quotient rule of derivative:…

Q: Find the derivative of the function. h(e)- (-1) ( 1) +]

A: Given ht=t4-15t3+16

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given: f(x)=(1-x2) Find the derivative of given function from the left and from the right at x = 1…

Q: What role does the denominator of f'(x) play in finding the critical points (in other words, what do…

A: The given data is: f'x

Q: Two equivalent forms of the Chain Rule for calculating the derivative of y = ƒ(g(x)) are presented…

A: Two equivalent forms of the Chain Rule for calculating the derivative of y = ƒ(g(x)) are presented…

Q: Find the derivative of f(x) = log, (3x4 − 2x²) at the point x = 3. Enter an exact answer. Provide…

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

A: hx=ex8-x+1

Q: Find a formula for (f-l)(x) given that f is one-to-one and its derivative satisfies the equation…

A: We can solve this using idea of function and definition of inverse of function

Q: The 2nd derivative of a function at point P is 0, and concavity is positive for values to the right…

A: Concavity is positive or negative?

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

A: Derivatives

Q: Find the derivative of the following function f(x)=2x-1 using the definition of the derivative Show…

A: y=2x-1

Q: find the derivative of y with respect to the appropriatevariable. y = csch-1 2θ

A: Given, y=csch-12θ

Q: What is the derivative of the function B(x)=3/(x+2) at x=a?

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Q: Find the derivative of f (x) =arcoth (e³" ).

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Q: Find the derivative of the following function. Show all your work for full credit. h(w) = e" (tan w+…

A: hw=ewtanw+secw

Q: B) Use the definition of differentiation to find the derivative of the function f(x) = 4- Vx + 3. Is…

A: Consider the function: fx=4-x+3 The definition of derivatives is given by the formulas,

Q: Find the derivative of f(x) = cot^−1(x^2 + 3)

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Q: Find the derivative of the function. 10 f(x) = 3 + 4cos x %3D

A: Given that fx=10x3+4cosxTo find its derivative

Q: Solve for the derivative of the function using chain rule. 6. f(x)= cot(6x3+5)

A: Derivative

Q: 1. Use the definition of the derivative to find the derivative of f(x)- V-x-2

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

A: Differentiate w.r.t x

Q: How do I find the derivative of this problem?

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