Derivative Calculus
posted by Steff on .
I just need my answers checked.
1) Find the derivative.
f(x)=3x^5/4  8/9x^9/8 + x^2  9x + 1
Answer: f’(x)= 15/4x^1/4  x ^1/8 + 2x 9
2) Let f(x)= 7x^3  9x. Find f’(5)
Answer: f’(x)=21x^29
f’(5)=516
3) Find the given limit by evaluating the derivative.
lim h⇒0 5(7+h)^2  (7+h)238
Answer: 69
4) Find the slope and an equation of the tangent line to the graph of the function f at the specified point.
f(x)=1/3x^2+5x+5: (1, 1/3)
Answer: f’(x)=2/3x + 5
y=2/3x 1

correct.

for #4 I get a slope of 17/3 not 2/3
(2/3)(1) + 5 = 17/3 
Thanks. I will check my answer.

coreectttttttttttttttt dear