| s(x) dx is positive, negative, or zero. [4.3] Decide whether 26. УА 27. УА b x

Q: (х+2)? x? - 4 dy 2y + dx х* — 4 |

A: dydx+2yx2-4=x+22x2-4

Q: Q2 /Find dy/dx, if: (1) x y+y =x2 (2) y = 3x* -5x' +10 у -

A:

Q: Find 2 dr if y=1-t² and x= 4+² dx

A: 1.       dy/dt = d/dt [ 1- t²]   = -2t        2.      dx/dt  = d/dt [ 4t²]     = 8t   So now…

Q: The derivative of the function y= (z+7x)5 is O 5(2 + 72) (3z?+7) O 5(7 +7x) (3x² + 7) O 5(r +7x)*(3²…

A: Topic- derivative

Q: 5 If [ f(x) dx = 18, then 5 (f(x) + 4) dx is equal to:

A: Using the properties of Integrals

Q: 10 What is the value of S" F'(x) dx ?

A: Given,            y=Fx         We know that,        ∫abF'xdx=Fb-Fa

Q: Find dy/dx when y=e2xtan2x

A: Given,

Q: Evaluate: ³²₁₂[z³(x + y)³] dz dy dx

A: Given, ∫-43∫-12∫01z3x+y3dzdydx

Q: If dy/dx= 5y+2 and y(0)= 3. What is the value of x when y=2?

A:

Q: Evaluate: [- e2x dx J ex+1

A: SOLUTION-

Q: [2 f(x)dx= 10 If then equals ?

A:

Q: 4. Differentiate the following function.   y=5e x−5x dy/dx=nothing   Enter your answer in the…

A:

Q: 18 Find J4 dx.

A:

Q: calculate d2y/dx2 when y=3/x

A:

Q: Differentiate the function. y= (5x+ 4)* dx

A:

Q: dy (B) Find -, if dx 3x2 + 2x 2 Y = (- when x = 1 5

A:

Q: 2e2x) when x=0 and y=3. dx Compute

A:

Q: dy Suppose 2e-2* and y(1) = 4. dx What is y(2)?

A: Given,  dydx=2e-2x and y(1)=4

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given functions are: y=a2-t2x=42t2+a In order to calculate d2ydx2, firstly we will calculate d2ydt2…

Q: 44 dy 2 y² + Ce リ4x+3x-2x?+4-x'dx

A:

Q: Evaluate

A:

Q: 8. Find when x = t3 -t and y = 4 –- t². dx'

A: Here, the given functions are: x=t3-t & y=4-t2⇒x'(t)=ddt(t3-t)=ddt(t3)-ddt(t)=3t2-1…

Q: S fAx)dx=10 and | f(x)dx=3, then (4 – x)dx=? -

A:

Q: dy х3 + ху? dx 12 ||

A:

Q: If y = 3x+2/x-2, evaluate dx/dy when x = 1

A:

Q: Suppose that (x) dx=3 and g(x) dx=7, then what is 1 8. 8 the value of (х) dx ? 1

A:

Q: d? V5 - 2x . dx² 9) Find 10) Find the second derivative of k(z) = 4 cs z.

A: Given, a) d2dx25-2xb)k(z)=4 cosec z To find : Above values of differentiation.

Q: + 2y = 1- x>0 dx

A:

Q: (b) Use your answer from part (a) to evaluate the derivative. (ӕ — 5)30 In d dx V (2а — 7)34 -

A: first, simplify the function ddxlnx-5302x-734 =ddxlnx-5302x-73412 =ddxlnx-53022x-7342…

Q: |(2 f(x)+3) dx=19 f(x)dx then equals?

A: ∫afx+bdx = a∫fxdx+∫bdx

Q: a2z If z = In(x² + y²), find a²z + dx2 ду?

A: Given, z=lnx2+y2

Q: dy If y = 2cscx then equals to : dx

A:

Q: Differentiate the function. y = (2x-5)³ (5-x4) 4 dy dx

A:

Q: 20. If y' = 2-2, finddy dx? in terms of y and x.

A:

Q: 9. If f(x) dx = 33 and g(x) dx = 16, find [2f(x) + 3g(x)] dx.

A:

Q: Differentiate the following function. y=3ex−3x dy/dx= ?

A: Solution of the problem as follows

Q: Calculate dx2 y = e-X + ex

A:

Q: Find dy/dx   (3,5)   for -4x^2y+3y^2+y+30=0

A: We find dy/dx   (3,5)   for -4x^2y+3y^2+y+30=0

Q: .5 If f(x) dx 10 and f(x) dx = 3.1, find f(x) dx. Answer:

A:

Q: dy dy -Find dx when x=4t2 + t – 2 and y = 3t³ –1, find dx

A:

Q: Find dy/dx when y=6(x3+4)3

A:

Q: 3 Differentiate the expression (x + y )" with respect to x. (Use D for 2). dx

A:

Q: If dy = (2x – 5)dx and y = 2 when x = -1,find y when x = .

A:

Q: If dy/dx = 3x^2 - 3 and y(0) = 8, then y(1) = ?

A: If dy/dx = 3x^2 - 3 and y(0) = 8, then y(1) = ?