Question

let (f(x)=5x^{1.5}-3sqrt{x}+5). (a) find (f(x)). (f(x)=7.5x^{0.5}-\frac{3}{2sqrt{x}}) (b) find the slope of the line tangent to the graph of (f) at (x = 5). slope at (x = 5:) (use at least 2 decimal places) (c) find an equation of the line tangent to the graph of (f) at (x = 5). tangent line: (y=)

Explanation:

Answer:

(a) \(7.5x^{0.5}-\frac{3}{2\sqrt{x}}\)
(b) \(6.74\)
(c) \(y - (5\times5^{1.5}-3\sqrt{5}+5)=6.74(x - 5)\) (or \(y=6.74x+(5\times5^{1.5}-3\sqrt{5}+5)- 33.7\))