Find the value of k when a curve has equation y=x²-kx²+5, when x=4 , the gradient of the curve is 5

asked Jan 5, 2024 118k views

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Answer:

k=(3)/(8)

Explanation:

$y=(1-k)x^2+5\\\\y'=2x*(1-k)\\\\if\ x=4\ then\ y'=5\\\\2*4*(1-k)=5\\\\8-8k=5\\\\8k=3\\\\k=(3)/(8)$

Mhdadk answered Jan 11, 2024

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