Derivative Concept: In which graph does the derivative not always exist?

For the function $h(x)=-2x^2+6x+,$ what is the exact slope of the function at $x=1,$ that is $h^{\text{'}}(1)?$

a$.$ the slope is $2$

b$.$ the slope is $-1$

c$.$ the slope is $10$

d$.$ Impossible to tell. at $x=1$ at $x=1$ at $x=1$

Derivative Concept: In which graph does the derivative not always exist?

For the function $h(x)=-2x^2+6x+,$ what is the exact slope of the function at $x=1,$ that is $h^{\text{'}}(1)?$

a$.$ the slope is $2$

b$.$ the slope is $-1$

c$.$ the slope is $10$

d$.$ Impossible to tell. at $x=1$ at $x=1$ at $x=1$

Derivative Concept: In which graph does the derivative not always exist?

For the function $h(x)=-2x^2+6x+,$ what is the exact slope of the function at $x=1,$ that is $h^{\text{'}}(1)?$

a$.$ the slope is $2$

b$.$ the slope is $-1$

c$.$ the slope is $10$

d$.$ Impossible to tell. at $x=1$ at $x=1$ at $x=1$

Derivative Concept: In which graph does the derivative not always exist?

For the function $h(x)=-2x^2+6x+,$ what is the exact slope of the function at $x=1,$ that is $h^{\text{'}}(1)?$

a$.$ the slope is $2$

b$.$ the slope is $-1$

c$.$ the slope is $10$

d$.$ Impossible to tell. at $x=1$ at $x=1$ at $x=1$

Derivative Concept: In which graph does the derivative not always exist?

For the function $h(x)=-2x^2+6x+,$ what is the exact slope of the function at $x=1,$ that is $h^{\text{'}}(1)?$

a$.$ the slope is $2$

b$.$ the slope is $-1$

c$.$ the slope is $10$

d$.$ Impossible to tell. at $x=1$ at $x=1$ at $x=1$