If y = ₁₀ x + _ x 10+ _ x x + ₁₀ 10 then what is ( dy dx )_ x =10 equal to?

Step-by-step solution

aligned & y= ₁₀ x+ _x 10+ _x x+ ₁₀ 10 & y= ₁₀ x+ _x 10+1+1 aligned Differentiating equation w.r.t. x aligned & d y d x = 1 x _e 10 - 1 ( ₁₀ x )^2 1 (x 10) & = 1 x _e 10 [1- 1 ( ₁₀ x )^2 ] & ( d y d x )_ x=10 = 1 10 _e 10 [1-1]=0 & [ array rl Note: _x 10 & = ₁₀ 10 ₁₀ x = 1 ₁₀ x d d x [ 1 ₁₀ x ] & =- ( ₁₀ x )⁻² 1 x _e 10 & =- 1 ( ₁₀ x )^2 x _e 10 array ] aligned