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Consider the following function. y=3x3​+2x2​−2x+7 (a) Find y′=f′(x) f′(x)= (b) Find the critical values. (Enter your answers as a comma-separated list.) x= (c) Find the critical points. (x,y)=( ) (smaller x-value) (x,y)=( (larger x-value) ​ (d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.) Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.)
(c) Find interuals of yovalues where the function b increasing. (Enter yout answer using interval notation) Find intervais of x.values where the function is Gecreasing. (Entep your answer using interval notation.) enter ONE.) celative maxima relative minina (x,y)=((x0​,y)=(​ noruonal points of infiectian {x,y}=(