JEE Main & Advanced
Mathematics
Applications of Derivatives
Question Bank
Numerical Value Type Questions - Tangent and Normal
question_answer
Let \[f\left( x \right)={{x}^{3}}+ax+b\] with \[a\ne b\] and suppose the tangent lines to the graph of f at \[x=a\And x=b\] have the same gradient. Then find the value of \[f\left( 1 \right)\].