Determine where the function is concave upward and where it is concave downward. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) f(x) = 9 (x)1/3

Q: Let f (x) = x3 – 3x2 – 1, x 2 2. Find the value of df-1 at the point x = -1 = f (3). dx -

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Q: V. Find the third derivative q = tsecv0.2t" +1 Where r is the last digit of your university ID.

A: It is given that: qt=tsec0.2t4+1 Let u=0.2t4+1 qt=tsecu Differentiate w.r.t t to get:…

Q: Decide, whether the function w = z2 + 3z has a derivative (and where) and then find it.

A: Complex number: A number of the form z=x+ιy where x and y are real numbers, is called a complex…

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Q: 3) Let f (x) = e=x² Where is y'> 0? What does this tell you about the original function?

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Q: Does the function I(x. y) is harmonic ? Q5) Evaluate: So So x+1) dzdydx

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Q: The antiderivative of the function f(x) 5 + 10x is

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Q: Use the following derivative function ?′f′ to determine the local minima and maxima of the function…

A: Consider the equation

Q: In the given question , find all functions f having the indicated property? The tangent to the graph…

A: Explanation: Given a function f(x) and point of tangency (x,y). Also given that, the tangent line…

Q: The domain of the function f(x)= tanh( - 23) is (A, 264)

A: Given,          The domain of the function fx=tanh-1xk-23 is A,264.

Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

A: f(x)=(x+5)23  f'(x)=23(x+5)-13  f'(x)=23 (x+5)3Let's understand f'(x) as a different…

Q: (x* + 2ху — 4y?)dx — (x? — 8ху — 4у?)dy %3D 0 -

A: Explanation of the answer is as follows

Q: Evaluate the function: dx ¤(1+x?)

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Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

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Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: We will find f'(x) using the product rule and the chain rule.

Q: Find the value of the derivative (If it exists) at the Indicated extremum. (If an answer does not…

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Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

A: Given fx=x+223

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A: Explanation: The given function is: f(x)=-3xx+1 Find the first derivative of this function.…

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Q: For what value(s) of x does the graph of f(x)=10x^3 − 90x^2 + 240x +90 have a horizontal tangent?…

A: To find the slope of the tangent we find f'(x)

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: Given t(z) = 6x* - x +7x + 4, find t' (x) using the definition of a derivative. (Do not include "ť'…

A: Given function is - t(x)=6x4-x3+7x+4 To find t'(x) using definition of derivative. Differentiation…

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A: Given: f(x)=210x8+9x615

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A: Function: f(x) = x2 – 6x   The condition for the absolute extreme of the function is,   Solve the…

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Q: t(x)=23x3−10x2+42x+9 Given the function above, use the First Derivative Test to find the local…

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Q: Let f(x) = x² – 4x – 5, x > 2. Find the value of df-1/dx at the point x = 0 = f(5).

A: (f-1(x))' = df-1dx = 1f'(f-1(x))

Q: of the functions f(t) = e² implified.

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Q: Q4. Find the slope of the tangent line to the function f(x)= e* +3; x+2 at x=4 5x-10

A: Given : fx = ex5x-10

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Q: Find the first derivative f' and the original function f. f"(x) = x³ – 24x, f'(1) = 0, ƒ(1) = 20 %3D

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

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Q: Find all the higher derivatives of the function f(x) = (3x+7)°. TATER P'(x) = P'(x) =] p"(x)=

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.