Let f(x) =3x2, x 1ax + b, x > 1Find the values of a and b so that f will be

Chapter 4, Problem 41

(choose chapter or problem)

Let

$f(x)=\left\{\begin{array}{ll} 3 x^{2}, & x \leq 1 \\ a x+b, & x>1 \end{array}\right.$

Find the values of $a$ and $b$ so that $f$ will be differentiable at $x=1$.

Equation Transcriptions:

$\ \ f(x)=\ \{{\ }_{ax+b,\ \ \ \ \ \ \ \ \ \ \ \ \ x\ >\ 1}^{3{x}^{2},\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x\ \leq{}\ 1}$

$a$

$b$

$f$

$x=1$

Text Transcription:

f(x)={3x^2, x leq 1 ax+b, x>1

x=1

Image Text Transcription: Let f(x) = 3x2, x ≤ 1 ax + b, x > 1 Find the values of a and b so that f will be differentiable at x = 1.

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