Math

posted by .

Find the following function

y=[(x-5)(4x+3)]^5

I arrived at 5(6x-2)[(x-5)(4x+3)]^4

The answer is 5(8x-17)[(x-5)(4x+3)]^4
but I am not sure how they got the 8x-17

  • Math -

    first line derivative:
    5((x-5)(4x+3))^4 (4(x-5) + (4x+3))
    = 5((x-5)(4x+3))^4 (4x-20 + 4x+3)
    = 5((x-5)(4x+3))^4 (8x - 17)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    I can't figure our how they got the answer to this question: Use the following function to find f(-2)?
  2. Calc.

    What function would have a derivative of ƒ′(x) = 12x2 + 4x − 10?
  3. math

    The cost of producing q articles is given by the function C=f(q)=100+2q. (A) Find the formula for the inverse function. (B) Explain in practical terms what the inverse function tells you. I am pretty sure the answer to A is f^-1(C)=C/2-50 …
  4. Calculus

    For each value of h, evaluate the following function. Round your answer to four decimal places. lim h->0 (4+3)^(3)-64/h A) h=0.01 B) h=0.001 C) h=0.0001 D) h=-0.01 E) h=-0.001 F) h=-0.0001 For A I got 48.9 For B I got 48.99 For …
  5. Calculus

    For each value of h, evaluate the following function. Round your answer to four decimal places. lim h->0 (4+h)^(3)-64/h A) h=0.01 B) h=0.001 C) h=0.0001 D) h=-0.01 E) h=-0.001 F) h=-0.0001 For A I got 48.9 For B I got 48.99 For …
  6. Algebra

    I distributed 3x^2+x-10=f(x) to find the zeroes. My book's answer was (3x-5)(x+2). When I distributed this to make sure I got the original function, I got 3x^2-x-10. Is this still an acceptable way to factor it even though the x is …
  7. AP Calculus

    Find (dy/dx) for the following implicitly defined function: cos(x-2y) = 3y for the answer, i got.. dy/dx = (-sin(x-2y)) / (3-2sin(x-2y)) but i'm not sure if it's right..
  8. Calc. checking answer

    Determine whether or not each of the following functions is invertible. Give your reasons for believing the function is invertible or not. Please check this for me. I am not sure if I am adequately explaining my answer and if my answer …
  9. Calculus

    Determine whether or not each of the following functions is invertible. Give your reasons for believing the function is invertible or not. Please check this for me. I am not sure if I am adequately explaining my answer and if my answer …
  10. Calculus help PLEASE

    It is known that an object traveling in straight line with velocity function v(t) = t^2-t, where v is measured in meters per second. Find following. The position function s(t) when we know the position 5 meters after 2 seconds. I tried …

More Similar Questions