he surtace f(xy) A

Q: Express the area A of an isosceles right triangle as a function of the length x of one of the two…

A: We have to express the area A of an isosceles right triangle   We have to write area as a function…

Q: The fifth derivative of the function f(x) = 5x° is a constar False O True

A: Given query is to find statement is true or false.

Q: Describe the domain of the function f(x, y) = ln(7−x−y).

A: (18)

Q: Use derivatives to find two positive numbers a and b such that: a^2 +b^2 = 1 and 2a+3b is as…

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Q: (4x + 3) 3 C. y =Tx-2)? %3D

A:

Q: Calculate the following derivative if f(x) = 6x° – 2x?. daf %3D dx4 x=1 II

A: ddxxn=n xn-1

Q: find f'la) f(x)%3D(X

A: The given function is: f(x)=x-1x2

Q: Calculate derivative f(a) = 13= 43 30 х %3D d 13 -30 x'3 t16e^)= %3D

A:

Q: Find Fxxygy for the function Fory)-J*J€nx-x]

A: We havr to find the derivative.

Q: f(x) = 7e(x²+1) .3 %3D

A:

Q: Compute f dx, where f(x)=|x|.

A:

Q: Consider the function f(x) = (x² – 6)(a² – 6æ) Compute the derivative. f'(x) =

A: In this we are going to use product rule of derivative to find out the solution so I'm providing…

Q: Find the derivative using the definition. a. f(t) 2t+1 b. g(x) = 2x² +1

A:

Q: 4. y = sech? In x

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please…

Q: Find f'(x) for f(x) = 3 arctan(4x² – 3) %3D

A: we use the formula f'(x) of arcton x=1/1+x^2.

Q: Find all antiderivatives of function:  f (x) = -4x

A: An antiderivative of a function f(x) is the indefinite integral ∫f(x)dx. Denote this antiderivative…

Q: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

A:

Q: Find a function f such that  f '(x) = 5x3  and the line  135x + y = 0  is tangent to the graph of…

A: Consider the given derivative function f'x=5x3

Q: Find the derivative of f(w) = √3w²

A:

Q: Use derivatives to find two positive numbers a and b such that a^2 + b^2 = 1 and such that 2*a+3*b…

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Q: Evaluate the function: dx ¤(1+x?)

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Q: y = cosº (4x)

A: Given: y=cos94x As we know that: The Power Rule: ddxxn=nxn-1 The Chain Rule: fgx'=f'gx·g'x

Q: Suppose f(x) = In(x³ + 5x + 7). df Find the derivative dx f' (x) =

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Q: Calculate the following derivative if f(x) = x*. f(4)(2) = %3D

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Q: Consider the function x + 3 f(x) = + V9+ 3x 6 – x Use the definition of derivative to find f'(0).

A:

Q: Compute f dx, where f(x)= |x|

A:

Q: Vr +3 f (x) = f'(1) I – 4

A: To evaluate: f'(1) Given: f(x)=x+3x−4 We know that quotient rule of differentiation states that…

Q: take the derivative. f(x) = 4cos x + Vx %3D

A: Consider the function: fx=4cos x+x. Take the derivative applying ax+bx'=a'x+b'x. Therefore, f'x=4cos…

Q: Differentiate the following function. f(x) = -3e-3x d -(-3e-³x) = dx

A:

Q: If f(x) = etan-¹(x²) then f'(x) at x = 1 is equal to TU 2e4

A: The explanation of answer as follows :

Q: find all possible functions with the givenderivative. y' = x2

A: Given function  y'=x2 That is dydx=x2dy=x2dx

Q: Find F.s For PCx) = %3D

A: Fourier series for a function f(x) defined in c to c+2π is given by f(x)=a02+∑n=1∞ an cos(nx)+∑n=1∞…

Q: Consider teu tunction: fcx) = -x+2x +4 Calculate f(x +h) for any constant h f(x +h) - f(x)

A: The given function is fx=-x3+2x+4. (a) Evaluate f(x + h) as  follows.…

Q: If f(x) = 4 arctan(8x), find f'(x). Find f'(3).

A: Given f(x)=4arctan(8x) ⇒arctan=tan-1 ⇒f(x)=4tan-1(8x) We need to find f'(x) and f'(3) First, we need…

Q: Use the definition of the derivative to find: f(x)= 1/x^3 g(z)= z^4 - 8z^2

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

Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

Q: Find f(2x)dx if f(x)dx = 1. Enter the exact answer. f(2x)dx

A:

Q: Find an equation for f(x) using the secant function. f(x) =

A: NOTE: Refresh your page if you can't see any equations. . the secant function is in the form of as…

Q: Differentiate. f(x) = 5x^5 - 8cos(x) f'(x) = ?

A: Given f(x)=5x5-8cos(x)

Q: Find the first derivative f' and the original function f. f"(x) = x³ – 48x, f'(1) = 0, f(1) = 16

A: We have to find f'(x) and f(x).

Q: Suppose this gi At what value(s) of x does f(x) f"(x) = 0?

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Q: ind the derivative of h(x) = %3D 4x2+2

A:

Q: Find f'(x) for f(x) = ln (5x + 2x + 7). Preview %3D

A:

Q: f(x) = In(x² + 1)

A:

Q: 3w + w R(w) = 2w2 + 1

A: 1. Use the quotient rule ddxuv=vu'-uv'v2 to differentiate Rw=3w+w42w2+1 with respect to w. Here,…

Q: Use the second derivative to determine f"(3) for the function f(x) = x² In (x) 2ln(3) +2 O 3ln(2) +3…

A: topic - derivatives

Q: Compute the Derivative f(x)=5x^pi+7.3x^8+pi^8 f'(x)=?

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.