If 7 ['rix dx = f(x) dx = 12 and в'їх 6 f(x) dx = 3.3, find 6 frx f(x) dx.

Q: 2. (In(x)) ? dx Xる

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Q: Find f'(0) for the function f (x) = 3.xe 5x %3D Answer:

A: use the formula for the derivative  d ( u v ) = u dv + v du  ddxeax=aeax,ddxax=a

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A: To find one x value where f'(x)=0. That is the tangent at x is parallel to x-axis.

Q: The derivative of y = 2 ln ⁡ x − ln ⁡ x 3 is

A: The given function is, y=2lnx-lnx3

Q: h(x)=5x^2 -2x^3 +1 what is h'(2)? a.-5 b.-8. c.-4 d.-8

A: The given function is

Q: 5 If f(x) = 3 + + X Find f'(5). 5 x2, find f'(x).

A: If f(x)= 3+5/x +5/x2  Find f'(x) and f'(5).

Q: If f(r) 5 sin (2²), find f'(x). Find f'(0.5).

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Q: +4 2x. value Of X?

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Q: 55dx 4 Stant x dx

A: Let's solve both the integrals using substitution method. We need a trigonometric identity also…

Q: If Y = f(x) = 6/x^3, find dy/dx? Select one: O a. (-18)/x^4 O b. (-9)/x^3 O c. 6X^2 O d. 18x^3

A: Sol:- Given:- Y=f(X)=6X3

Q: fx- sin(2x ) dx

A: Given that  The integral is xsin(2x^2) To evaluate the integral

Q: / x(8x + 9)" dx %3D

A: Using Liate's rule for integration we can solve the above problem. This is also known as the…

Q: Given x+ y +z= 5 and Po(2,2,1), find the following. (a) Find the equation for the tangent plane at…

A: Here is the solution

Q: d Verify tanh - = X 1- x2 dx

A: Inverse hyperbolic tangent function can be expressed in logarithm funtion. Write tanh-1x=12ln1+x1-x…

Q: f(x)=e^4x,x=3pi what is the value

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Q: If f(x)= ∫ (top 16, bottom 9) (-x^(-1/2)+5) dx. Enter your answer as an exact fraction of necessary.

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Q: d'y -+42=sin 2x 3 dx dx

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Q: For y=f(x)=3x^3 , x=3 , and (triangle)x = 0.03 find dy (two decimal places)

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Q: Q2-Prove that

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Q: For the function y = х2 х3 find the derivative dx dy УЗx

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Q: if S 3 then S f(x) dx = 43 and I f(x) f(x) dx = -2 -1 √ (3 Sin (x) - 4 fcx)) dx = ? -1

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Q: Find -2 (2x5+ 3x¹) dx

A: Given that a integration and we solve this integration by using general property of integral.

Q: factor 3x^3+18x^2+27x

A: We have

Q: | sin'x sin 2x dx

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Q: X Je* tan-¹ (e^x) dx е

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Q: derivative of function y=\sqrt[5]{x^4} is

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Q: Solve X' ||

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