a) Using the definition of derivative, calculate the derivative of the function of f(x) = /3x +1 (b) Find the first and second derivative of w 32'- 72' +21z x-1 dy - of y= m) Using the chain rule to find Vx+1

Q: 9 (y) = (y-4) (2y + y²)

A: Here is the solution:

Q: v=(*++1)(r+2) 11. (u)=(1+ \u)(u-u°)

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

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Q: Find the derivative of the function y = x²e*

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Q: Find the derivative. h'(w) = = h(w) = (w4 - 5w)4 4(w² - 5w) ³. (4w ³ - 5) x

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Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

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Q: Find the derivative of the following: 2x-5 y = 3x–1 O y' = 13 (3z-1) 13 (3z–1) 13 (3x+1) 13 O y' =…

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Q: Determine the derivative of each function and compute and interpret f'(1) each function. (a) f(r) =…

A: Given: (a)  f(x)=6x2+3x−4(b)  f(x)=10

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

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A: The function is  h(w) =-7w-4+6w. We know that derivative of wn, i.e., dwndw = nwn-1.

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Q: Find the value of A B 3 16 fy' if y 314 3 16 In x =e4. when x = e X

A: according to bartleby we do only first part of multiple questions y=xlnxd dx(lnx)=1xd…

Q: 2) s(t)=5e" (3r -51)

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Q: (a) y = arctan (b) y = v1-x' arsin(x)

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