Q. 7

# If ey

Given,

ey (x + 1) = 1 ….. 

As,

ey (x + 1) = 1

Differentiating both side with respect to ‘x’ Product rule: if f(x) and g(x) are two differentiable functions then

[f(x)g(x)] = f(x)g(x) + g(x)f(x)

Now, applying Product rule on LHS and differentiation of any constant value is 0. Chain rule: Let F = f o g, or equivalently, F(x) = f(g(x)) for all x. then F(x) = f(g(x))g(x)

So  {\displaystyle F'(x)=f'(g(x))g'(x).} {\displaystyle F'(x)=f'(g(x))g'(x).}    …. [From 1]

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Show that of all Mathematics - Board Papers

Find the value ofMathematics - Board Papers

If x sin (a + y) Mathematics - Exemplar

The function f(x)Mathematics - Exemplar

Show that of all Mathematics - Board Papers

If the function fMathematics - Board Papers

Find <img wMathematics - Exemplar

Let f(x) = |sinx|Mathematics - Exemplar

The derivative ofMathematics - Exemplar