The slope of the tangent line to the graph of y=x^3-cx+4 at x=5 is 69. Give the value of c.

Hugh Soto

Hugh Soto

Answered question

2022-09-10

The slope of the tangent line to the graph of y = x 3 c x + 4 at x = 5 is 69. Give the value of c.

Answer & Explanation

Peugeota2p

Peugeota2p

Beginner2022-09-11Added 14 answers

Answer: equation of a curve
y = x 3 c x + 4
and we know that single differential ( d y d x ) is also the slope of tangent on a curve.
Now
( d y d x ) = 3 x 2 c + 0 d y d x = 3 x 2 c
It is given that ( d y d x ) = 69
at x=5
So now
69 = 3 ( 5 ) 2 c 69 = 3 ( 25 ) c 69 = 75 c c = 75 69 c = 6

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