hw 9 - the tangent line section 2.4: problem 5 (1 point)\nlet (f(x)=5x^{1.5}-3sqrt{x}+5).\n(a) find…

hw 9 - the tangent line section 2.4: problem 5 (1 point)\nlet (f(x)=5x^{1.5}-3sqrt{x}+5).\n(a) find (f(x)).\n(f(x)=)\n(b) find the slope of the line tangent to the graph of (f) at (x = 5).\nslope at (x = 5:) (use at least 2 decimal places)\n(c) find an equation of the line tangent to the graph of (f) at (x = 5).\ntangent line: (y=)

hw 9 - the tangent line section 2.4: problem 5 (1 point)\nlet (f(x)=5x^{1.5}-3sqrt{x}+5).\n(a) find (f(x)).\n(f(x)=)\n(b) find the slope of the line tangent to the graph of (f) at (x = 5).\nslope at (x = 5:) (use at least 2 decimal places)\n(c) find an equation of the line tangent to the graph of (f) at (x = 5).\ntangent line: (y=)

Answer

Answer:

(a) (7.5x^{0.5}-\frac{3}{2\sqrt{x}}) (b) (6.09) (c) (y - (5\times5^{1.5}-3\sqrt{5}+5)=6.09(x - 5)) (or simplified further (y=6.09x+(5\times5^{1.5}-3\sqrt{5}+5 - 30.45)))