Differentiation by First Principles

If

f(x) = 5x +1 then

f(3) = ?

• 16

• 1

• 3

• 7

If f(x) = 4x+8 then f(x+h) =?

• 4h+8

• x+h

• 4x+8h

• 4x+4h+8

If f(x) = x² then f(x+h) = ?

• x² + 2xh + h²

• x² + h²

• x²

• xh - $200

if f(x) = 5x + 3 then f'(x) = ?

• 5

• 8

• 5x

• 5x + 5h

If f(x) = x² + 6x then f(x+h) = ?

• x² + 2xh + h² + 6x + 6h

• x² + h² + 6x + 6h

• h² + 6h

• 2x + 6h

If f(x) = x² + 6x

then

f(x+h) - f(x) = ?

• x² + 2xh + h² + 6x + 6h

• x² + h² + 6x + 6h

• h² + 6h

• 2xh + h² + 6h

If  $f(x+h)-f(x)=5h^2+7xh\ \$ then    $\ \ \frac{f(x+h)-f(x)}{h}=?$  

• 5h + 7x

• 5 + 7x

• 5h² +7xh

• 7x

If  $f(x+h)-f(x)=5h^2+7xh\ \$ then    $\ \ f'\left(x\right)\ =\ \lim_{h\rightarrow0}\left(\frac{f(x+h)-f(x)}{h}\right)=?$  

• 5h + 7x

• 5 + 7x

• 5h² +7xh

• 7x