1)f′(X)=3X²+2aX将1代人,得
f′(1)=3+2a=﹣3∴a=﹣3
f(1)=﹣2+b
y-(﹣2+b)=﹣3(X-1)∴b=2
f(X)=X³-3x²+2
f′(X)=3X²-6X=3X(X-2)
当X∈[0,2]时f′(X)<0 f(X)单调递减...
1)f′(X)=3X²+2aX将1代人,得
f′(1)=3+2a=﹣3∴a=﹣3
f(1)=﹣2+b
y-(﹣2+b)=﹣3(X-1)∴b=2
f(X)=X³-3x²+2
f′(X)=3X²-6X=3X(X-2)
当X∈[0,2]时f′(X)<0 f(X)单调递减...