SOLUTION: Find the gradient of f(x) at x=4 for which f(x)=(5(x-1)(x-5))/8x^1/2

Algebra.Com
Question 1187895: Find the gradient of f(x) at x=4 for which f(x)=(5(x-1)(x-5))/8x^1/2
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Find the gradient of at for which or

The gradient (slope) of a curve of at is '

By taking the derivative, '

By plugging in we get

'
'

Hence, the gradient is (exact solution) approximately



RELATED QUESTIONS

For f(x)= -8x/x-2, find f^-1(x). State any restrictions on the domain of... (answered by stanbon)
With f(x)=x^2-8x-1, find all values of x for which... (answered by ewatrrr)
Given f\"(x)=8x^3+5, f(1)=0,f'(0)=4, find... (answered by solver91311)
For the function f(x)=(1/4)x+2, find the value of x for which... (answered by nerdybill)
#52 find the values of x for which f(x) = g(x) f(x) = x^2 +2x + 1, g(x) = 7x -... (answered by Mathtut)
Find the value for of x for which the tangent to f(x) = ax√1-x has gradient a. 0 b.... (answered by greenestamps)
Find the value for of x for which the tangent to f(x) = ax(√1-x) has gradient a. 0 b. (answered by Solver92311)
Given an equation f(x)= x(x+3)... 1. Dertemine average gradient of the curve f between x= (answered by Fombitz)
Let f(x) = x2 - 8x + 5. Find... (answered by josgarithmetic,MathTherapy)