Application of DerivativeMedium
Question
If the normal to the curve y = f (x) at the point (3, 4) makes an angle 
with the positive xaxis, then f′(3) is equal to
with the positive xaxis, then f′(3) is equal toOptions
A.-1
B.- 3/4
C.4/3
D.1
Solution
Slope of tangent y = f (x) is 
= f′(x)(3, 4)
Therefore, slope of normal
But
(given)
⇒
f′(x) = 1
= f′(x)(3, 4)Therefore, slope of normal
But
(given) ⇒
f′(x) = 1
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
Let f(x) = Then, at x = 0, f has...A cubic polynomial f(x) = ax3 + bx2 + cx + d has a graph which is tangent to the x-axis at 2, has another x-intercept at...If the function f(x) = x3 − 6x2 + ax + b defined on [1, 3], satisfies the rolle′s theorem for c = , then -...The points at which the tangent to the curve y = x3 + 5 is perpendicular to the line x + 3y = 2 are -...If f(x) = ; g(x) = where 0 < x < 1, then...