3.ƒ _(x−1)² dx √x

Q: Factor x* + 1 as a difference of squares by first adding and subtracting the same quantity. Use this…

A:

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: Differentiate. y= In [(x + 4)(5x– 6)(3 – x)] d dy In ((x+ 4)(5x – 6)(3–x))) = |

A: Given: To find: The derivative of the given function.

Q: ∫ x^2√18-x^2 dx

A: The given problem is to evaluate the given integral of x2√(18-x2) dx.

Q: 1. f4x-³ dx -3

A: Find the integral

Q: Complete the table of values for the function f(x)=−1/4x^2   x f(x)=−1/4x^2 −4   −2   0   2   4

A: f(x)=−1/4x^2

Q: 9 √(x² - 2/2 √x + x 4/³)]dx

A:

Q: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent…

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Q: Evaluate ∫4x+5/(3x+2)(x+3)dx

A: Given Integral: ∫4x+53x+2x+3dx   To find: Evaluate the given function. Formula used: i) Partial…

Q: -sech? (In 3.x)

A: We can find the answer as below.

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: Consider the function f(x)=5√x+9x^3+6x f′(x)=

A:

Q: find -3/2 x74] x dx

A:

Q: y =x^3+3x / x Find y”

A:

Q: f ′= (6/(x^2))+ 3√x, f (1) = −5

A:

Q: Find ∫ dx / √(4x2 + 1)

A: Given: ∫14x2+1dx

Q: Compute d dx -(xe).

A:

Q: Differentiate the function ƒ(x)=(4x+3/5x−2​)^3.

A: fivenf(x)=(4x+35x-2)3 diffrentiate by division rulef'(x)=3(4x+35x-2)3-1((5x-2)4-(4x+3)5(5x-2)2)

Q: y=(x+5)^x Differentiate

A: Solution: y=(x+5)^x dydx=ddx((x+5)x)