Question

Use the alternative formula for the derivative,
find the derivatives of the functions at the
given value of c.
f (x) =1/x+2, C=-1​

Answer 1

Step-by-step explanation:

Find the derivative of f(x) = x

3

.

d

dxx

3 = lim

∆x→0

(x + ∆x)

3 − x

3

∆x

.

= lim

∆x→0

x

3 + 3x

2∆x + 3x∆x

2 + ∆x

3 − x

3

∆x

.

= lim

∆x→0

3x

2∆x + 3x∆x

2 + ∆x

3

∆x

.

= lim

∆x→0

3x

2 + 3x∆x + ∆x

2 = 3x