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

User Oleg O
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1 Answer

2 votes

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)

User Mhdadk
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