SOLUTION: Find the value for of x for which the tangent to f(x) = ax(√1-x) has gradient
a. 0
b. a
Algebra.Com
Question 1192397: Find the value for of x for which the tangent to f(x) = ax(√1-x) has gradient
a. 0
b. a
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!
Calculate the first derivative of 
. Set the derivative equal to zero and solve for 
, then set the derivative equal to 
and solve for .
Hint: Use the Product Rule and the Power Rule; ^{\small{\frac{1}{2}}})
John
My calculator said it, I believe it, that settles it
From
I > Ø
RELATED QUESTIONS
Find the value for of x for which the tangent to f(x) = ax√1-x has gradient
a. 0
b.... (answered by greenestamps)
Please my good genius Algebra.Com help me with this !Find the equation of the tangent to... (answered by anand429)
The curve y = ax^2 + bx has gradient 8 when x = 2 and has gradient -10 when x = -1. Find... (answered by ikleyn)
Suppose that A, B, C, and D are constants and f is the cubic polynomial... (answered by Fombitz)
A curve has gradient function f'(x) = ax+1 where a is constant. Find f(x) given that f(0) (answered by ikleyn)
Find the gradient of the tangent to y(x) = x2 at A(1,1), B(-1,1) and... (answered by KMST)
Find the value of a for which {{{ f(x)=-2x^3+3(a+2)x^2-12ax+4a^2 }}} is tangent to the... (answered by robertb)
1.
b) Find the value of a and b in f(x) = ax^2 + b given that (−1, 5) is a point... (answered by solver91311)
Let f(x)=x^2+ax+b for some value of a and b. f(x_0) = 0, f(x_1) = 0 and x_0x_1 = 3,... (answered by jim_thompson5910)