2-r f(r)=2ー: f"(r) 1+r

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: Does the function cos x х f(x) = 0, x = 0 have a derivative at x = 0? Explain.

A:

Q: Find the derivative of 1 f(x) || 1+ Vx using the definition of derivative. State the domain of the…

A: We have to find the derivative of the given function by using the definition of derivative.

Q: 1) Find the derivative of y =-+x-1 %3D

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Q: 3x-x Tan 1-3x? х-х

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Q: Find the derivatives of x^ x (x>0) with respect to x, find first principles

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Q: Find the derivative of y with respect to the appropriate variable 53. у %3D sec (2s + 1) 55. y =…

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

A: The equation is given by

Q: Compute the derivative using derivative rules.

A: Explanation Given that,  y=(kx+b)-13   Differentiate with respect to x both the sides…

Q: ind the derivative of the y= ((2x) +3)

A: To find the derivative of, y=2x+3

Q: y = In (x+2), (х-1)2

A: Given that: y=lnx3x+2x-12

Q: 2 y-(1-2x) y = 1 – 2x° У y"

A:

Q: ind the derivative of y=(x-1)(2x-x2)1/2 - arccos(x-1)

A: Given function: y=x-12x-x2-arccosx-1

Q: Find the derivative of the function. Express it using positive exponents only. y…

A: For power 3, use the power rule. Then use the chain rule

Q: Find the slope of the curve y2 + x² = y* – 2x at (-2,1) Find the required derivative by applying the…

A: topic - slope of curve note - As per bartleby guidelines ,we are supposed to answer only first…

Q: a, b, and I are differentiable functions of the same variable what is the derivative of H ac b +…

A: To find the derivative of acb, here a,b and c are differentiable function of same variable. Let a,b…

Q: Determine the derivative of the given function by using two different methods 2- 3) y = ² + 3

A: Given: y=x2-3x2+34

Q: 6 Find the derivative of f (y) =7tan(y) - 6.

A:

Q: 2. y = x5 + 2x* + 5x3 + 4x² + x +1

A: Find the derivatives by applying basic differentiation rules.

Q: Find the derivative of the function. 2 x* + 2 .2 y 2 y' =

A: y = x2+2x2-25we know:ddx xn = nx(n-1)ddx f(g(x)) = f'(g(x)) . g'(x)

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

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Q: Using central difference, find the second-order derivative of y=x²cosx at x=9, h=0.1

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Q: find the derivative of the function f(x) = x2 what is f'(3)? what is the equation of the line…

A: Given function is f(x)=x2

Q: Draw the function x = 2y- y2 by using the tools of derivatives? %3D

A:

Q: Using the definition, find the derivative of fz) = 3 z^-6 z² at point z= 0

A: Given,          fz=3z4-6z2

Q: 2 If f(x) find f'(3) and us it to find an equation of the tangent line to the curve y = at ズー1 ズ-1…

A: Given function is, fx=2x-1

Q: How do I find the following derivatives?

A: Using 1 rules of log 2 derivatives of composite functions (chain rule)

Q: Find the derivative of the function. f(x) 4. + 2cos x %3D

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Q: How do you find the derivative of the quotient of two functionsthat are differentiable at a point?

A: Given: Let f and g be two differentiable function at point x.

Q: Зx+1 5. f(x) %3D 3x2+2

A: f(x)=3x+13x2+2Differentiate…

Q: Find the equation of the line tangent to the graph of the function f(x)=x-2x^2 at x=1 use the…

A: The equation of the curve is: f(x)=x-2x2

Q: How do you find the derivative of the product of two functionsthat are differentiable at a point?

A: Consider the two functions f(x) and g(x). f(x)·g(x)'=f'(x)g(x)+g'(x)f(x). Here f(x)·g(x)' represents…

Q: Draw the function x = 2y-y2 by using the tools of derivatives?

A: The given function isx=2y-y2.

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

A: Derivatives

Q: 11. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? %3D a. -5 b. -6…

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Q: What are the first and second derivatives of f(x) = cos 2x ?

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Q: Find the direction derivatives of the function F(x,y) = sin (x - y) In direction   At point (π\2…

A: Given function: Fx,y=sinx-y   First, The gradient of F(x,y) is: ∇F=∂F∂x,∂F∂y…

Q: Use implicit differentiation to calculate the value of derivative y' at the solution point (2, y) =…

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Q: Consider f(x) = tan2x and g(x) = sec2x. What do you notice about the derivatives of f and g? What…

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Q: What is the derivative of cy = 2 - a°y ?

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Q: Use the graph of f'(x), the derivative of f(x), given to the right to answer the following question.…

A: Given that f(3)=-3 So, let x0=3⇒y0=f(x0)=f(3)=-3 And from the graph f'(3)=2⇒m=f'y0=2

Q: draw the function and its derivatives. explains why of its derivatives:   y=cosx

A: Given y=cosx

Q: How are derivatives and one-sided derivatives related?

A: One-sided derivatives are the derivatives in which ordinary limit is replaced by a one-sided limit.

Q: calculate the derivatives of the functions. Then find the values of the derivatives as specified. 1.…

A: Given function fx=4-x2 To find the derivative , the derivative given below is used f'xn=nxn-1 So the…

Q: Compute the derivative of the function y using derivative rules. y = (13x4 +5 - 5)³ (Express numbers…

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Q: how do i find the derivative of this but not simplified  y= (x^2+x+6)(x^1/3-2x^1/2+1)

A: To determine the derivative of the function.

Q: How do you find the derivative of the quotient of two functions that are differentiable at a point?

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Q: 5. Find the 25" derivative of y= In x.

A: We have to find the 25th derivative of y=ln(x)

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

A: