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Find the second derivative of $y=\sqrt{3x^2-2x+1}$ By indices $y=(3x^2-2x+1)^\frac{1}{2}$ We use chain rule to evaluate $y$.  Formula $\frac{dy}{dx}=\frac{dy}{du}\times…

Linear Approximation Of Functions Given a function $f(x)$,if $x=a$ then the linear approximation of $f(x)$ is given by $L(x)=f'(a)(x-a)+f(a)$ Examples Use Lin…

Differentials of Functions for any function $f(x)$ that is differentiable,we defined $y=f(x)$ so that $\frac{dy}{dx}=f'(x)$ and the differential is given as $dy=…

JAMB past questions on Calculus below are some of the calculus questions from the previous jamb examinations, i believe you should have basic background of calculus,we…

Definition of Analytic Functions i) A complex function $f(z)$ is said at a point $z_0$, if $f$ is differentiable not only at $z_0$ but at every point of some neighborho…

Below are few calculus  Questions which  I solved..  (1)Find the derivative of the following if: (i) 2y²=x²siny+xy³ (ii)x²y²+4xy+x-6y=2 (2)differentiate y=cos-¹(4x³-1) (…