2. Given: y = f (x) = (2x-2 + 5x³). What is the slope (gradient) of the first derivative function at x = 2?

Q: -What is the derivative of (x + 1)2 ? a) x? + 2 b) x c) x d) 2x+2

A: We will use chain rule of derivative

Q: 2. Calculate the derivative of the following y= (*- 3 + Sx) B. Ytan (x+ Se-2) (4x + 3) Tx-2) A. C.…

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Q: Find the derivative Of y=4e^-0.3t

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Q: A function is given as x - 6y = 5– x. Calculate the derivative of y with respect to r with two…

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

A: Derivative of a function

Q: Find the derivative of y = 6x°e* + 3x° y' =

A: Given data is : y=6x3ex+3x5 To find the value of derivative y' Formula of differentiation…

Q: Find the derivative of the function f(x) = e(z²-3z).

A: The given exponential function has one independent variable which is x.

Q: 3. Find the first derivative of y = (x² – 4x + 1)5. %3D

A: The given equation is y=x2-4x+15. Calculate the first derivative of the given equation. Here we use…

Q: Find the derivative of y with respect to x if y = 4Vx(2x + 3). D. E - А. 6(2x+1) 3 B. C. 12V1 + 6 O…

A: Given: y=4x2x+3 ⇒y=8x32+12x12 Since, we know that ddxxn=nxn-1

Q: II. Obtain the required order or level of derivative. 1. y = 3x5 + 4x³ – 4x + 1, find y" 2. f(x)…

A: Solve differentiate

Q: What is the derivative of y e2x –1

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Q: what is the derivative of y=e^-1/2x(C1cos3x+C2sin3x) and evaluate if x=0, y'=8

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Q: Find the derivative of y = (x - 1) 2× + 1 at x = 2.

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Q: Find the derivative of f(x)=x^2 e^2.5x

A: Given problem:- Find the derivative of f(x)=x2 e2.5x

Q: Find the derivative of y with respect to x if y = (13x - 26x+26) e -8x y =D %3D

A: Explanation of the answer is as follows

Q: B. Find the indicated derivative. (15 pts) -4 y =;y(3) 2. x2 – 4y2 = 5; y" x2 -

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Q: Of the two functions f and g in Figure , which is the derivative of the other? Justify your answer.

A: Given Graph,

Q: Find the nth-order derivative of the function y=(3x2−2x)lnx, x>0.

A: Use the product rule

Q: A) Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x = 1. dy 3) Using…

A: A).Givenx2+(y-x)2=9(y-x)2=9-x2y-x=±9-x2y=±9-x2+x -----{1}Taking positive of equation {1}y=9-x2+xNow…

Q: Find the derivative of the function y=2x+12x−1 at x=1.

A:

Q: Find the derivative of the function: f(x)= e^x÷x^2

A: Given,

Q: 4 Find the derivative of the function y= f(x)= Jx(x-8). %3D

A:

Q: Why is the derivative of f(x) = e^2, 0? Would e to any power be 0?

A: Given f(x)=e2As the given function is in terms of x and the given function e2 is a constant

Q: Find the derivative of the function. 7x 7x flu) du J3x 0 fu) 3x d du g(x) Hint: fu) 3x u5 g'(x)

A: To determine the derivative of the function.

Q: Evaluate the derivative of y = (x 2+ 2x + 1)2usingd/dx (ƒ(g(x)) = ƒ′(g(x)) # g′(x)

A: We have to evaluate the derivative ofy = (x2+ 2x + 1)2usingddx(f(g(x))=f'(g(x))*g'(x)

Q: For what values of x is the derivative of x equal to the derivative of x2 + x?

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Q: Let y=x(lnx)^2. Find the value of x for which the second derivative y"(x), equals zero.

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Q: With respect to x, what is the derivative of: * H5 du -3/5 Option4 Option 2 2/5 du -3/s du dx…

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Q: Find the derivative of the function y=(x−1)(x−2)(x−3) at x=0.

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Q: The derivative of the function y = x² In(x + 1) is:

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Q: Solve for the derivative of y IMPLICITLY 22 + Væ3 + 2y= y²

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: f y=x^2(e^x)

A: Derivative: ddx(u.v)=u.dvdx+v.dudxy=x2(ex)Here u=x2,v=ex

Q: What is the value of y' at x=-4 is ______? Evaluate the derivatives of the given function for the…

A: The function is given by y = 5x2-x+53-3x-x2 To evaluate : The value of y' at x =-4

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3. y = V(4x + 3)³

A: To find the third derivative of  y=(4x+3)34⇒y=(4x+3)34 The general rule of differentiation is…

Q: Find the derivative of the following e^2x y = π / 2 y=5e^3x

A: Given function, y=e2x Using the chain rule of the derivative y'=dydududx Let 2x=u The derivative of…

Q: Q1) The dervative of the function f(x)= |x+2 using the definition of derivative is

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Q: Find the derivative of f (a) = e" (x² + 2).

A:

Q: The derivative of the function y = e¯- is

A: Finding the derivative of the following function:

Q: Find the derivative of the function m: f(x)= e^x^3+4

A: Topic = Derivative

Q: The total derivative of f(x,y )=3 x+ 3 y-41n y is

A: Given function is fx,y=3x3+3y2-4 ln y find the total derivative  dz=fxx,ydx+fyx,ydy

Q: y= 4x2-2x - 3

A:

Q: Solve by definition of derivative if f(x)=x+Vx AND also Find x? w.r.t x*

A: fx=x+x Now by the definition of derivative, we have…

Q: Q2: A) Find an equation of the line tangent to the function of x2 + (y- x)² = 9 at x = 1. dy if y =…

A: Derivative of function

Q: 4. What is the SECOND derivative of the given function? * y = 3x³ - 2x² + x - √ y" =9x² - 4x + 1 y"…

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Q: Q1)If f=x+y find second derivatives of fcx, fxy?

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Q: find the following third derivative of y=(3x+2)2

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Q: If g(z) = 6z-2), then its derivative is given by:

A: For simplification, take natural logarithm on both sides of the equation gx=6x2-2 and apply the…

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

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Q: Determine the value of the derivative function for Ax) = (x + x)(x- 2) at x = 2. %3D A 6 в О с 5 D1

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Q: 18. Up to what derivative is the derivative of y = x6 + 2x5 - 4x4 + 7x³ becomes 0.? a. yv b. yu c.…

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