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Recent questions tagged derivatives

If $ f(x+y)=f(x).f(y)$ for all x and y and if $f(5)=2$ and $f'(0) =3$ find $f'(5)$

asked Apr 22, 2014 by meena.p

1 answer

Find the derivative of the given function $ 2\tan x - 7 \sec x$

asked Apr 10, 2014 by thanvigandhi_1

1 answer

Find the derivative of the given function $ 5\sin x-6 \cos x+7$

asked Apr 10, 2014 by thanvigandhi_1

1 answer

Find the derivative of the given function $ 3 \cot x + 5 cosec\: x$

asked Apr 10, 2014 by thanvigandhi_1

1 answer

Find the derivative of the given function $ cosec \: x$

asked Apr 10, 2014 by thanvigandhi_1

1 answer

Find the derivative of the given function $ 5 \sec x +4 \cos x$

asked Apr 10, 2014 by thanvigandhi_1

1 answer

Find the derivative of the given function $\sec x$

asked Apr 10, 2014 by thanvigandhi_1

1 answer

Find the derivative of the given function $ \sin x \: \cos x$

asked Apr 9, 2014 by thanvigandhi_1

1 answer

Find the derivative of $ \cos\: x$ from first principle.

asked Apr 9, 2014 by thanvigandhi_1

1 answer

Find the derivative of $\large\frac{2}{x+1}$$ - \large\frac{x^2}{3x-1}$

asked Apr 9, 2014 by thanvigandhi_1

1 answer

Find the derivative of $x^{-4}(3-4x^{-5})$

asked Apr 9, 2014 by thanvigandhi_1

1 answer

Find the derivative of $ x^5(3-6x^{-9})$

asked Apr 9, 2014 by thanvigandhi_1

1 answer

Find the derivative of $ x^{-3}(5+3x)$

asked Apr 9, 2014 by thanvigandhi_1

1 answer

Find the derivative of $(5x^3+3x-1)(x-1)$

asked Apr 9, 2014 by thanvigandhi_1

1 answer

Find the derivative of $ 2x-\large\frac{3}{4}$

asked Apr 9, 2014 by thanvigandhi_1

1 answer

Find the derivative of $ \large\frac{x^n-a^n}{x-a}$ for some constant $a$

asked Apr 9, 2014 by thanvigandhi_1

1 answer

For some constants $a$ and $b$, find the derivative of \[\] $ \large\frac{(x-a)}{(x-b)}$

asked Apr 9, 2014 by thanvigandhi_1

1 answer

For some constants $a$ and $b$, find the derivative of \[\] $ (ax^2+b)^2$

asked Apr 9, 2014 by thanvigandhi_1

1 answer

For some constants $a$ and $b$, find the derivative of \[\] $ (x-a)(x-b)$

asked Apr 9, 2014 by thanvigandhi_1

1 answer

Find the derivatives of $x^n+ax^{n-1}+a^2x^{n-2}+...+a^{n-1}x+a^n$ for some fixed real number $a$

asked Apr 9, 2014 by thanvigandhi_1

1 answer

For the function \[\] $f(x) = \large\frac{x^{100}}{100}$$+ \large\frac{x^{99}}{99}$$+...+\large\frac{x^2}{2}$$+x+1$ \[\]then $f'(1)$ is

asked Apr 7, 2014 by thanvigandhi_1

1 answer

Find the derivative of the given function from first principle $ \Large\frac{x+1}{x-1}$

asked Apr 7, 2014 by thanvigandhi_1

1 answer

Find the derivative of the given function from first principle $\Large\frac{1}{x^2}$.

asked Apr 7, 2014 by thanvigandhi_1

1 answer

Find the derivative of the given function from first principle $(x-1)(x-2)$

asked Apr 7, 2014 by thanvigandhi_1

1 answer

Find the derivative of the given function from first principle $x^3-27$

asked Apr 7, 2014 by thanvigandhi_1

1 answer

Find the derivative of $x$ at $ x = 1$.

asked Apr 7, 2014 by thanvigandhi_1

1 answer

Find the derivative of $99x$ at $ x = 100$.

asked Apr 7, 2014 by thanvigandhi_1

1 answer

Find the derivative of $x^2-2$ at $ x = 10$

asked Apr 7, 2014 by thanvigandhi_1

1 answer

Let $f(a)=g(a)=k$ and their $n^{th}$ derivatives $f^{(n)}(a),g^{(n)}(a)$ exist and are not equal for some n. Further if $\lim\limits_{x\to a}\large\frac{f(a)g(x)-f(a)-g(a)f(x)+g(a)}{g(x)-f(x)}$$=4$ then the value of K is

asked Jan 6, 2014 by sreemathi.v

1 answer

If $f(x)=\cot^{-1}\big[\large\frac{3x-x^3}{1-3x^2}\big]$ and $g(x)=\cos^{-1}\big[\large\frac{1-x^2}{1+x^2}\big]$ then $\lim\limits_{x\to a}\large\frac{f(x)-f(a)}{g(x)-g(a)}$$\quad0 < a < \large\frac{1}{2}$ is

asked Jan 6, 2014 by sreemathi.v

1 answer

Let $f(x+y)=f(x)f(y)$ $\forall x,y\in R$. Suppose that $f(3)=3$ and $f'(0)=11$, then $f'(3)$ is given by

asked Jan 6, 2014 by sreemathi.v

1 answer

$f(x)$ is the integral of $\large\frac{2\sin x-\sin 2x}{x^3}$$x\neq 0$ find $\lim\limits_{x\to 0}f'(x)$

asked Dec 31, 2013 by sreemathi.v

1 answer

Let $f(a)=g(a)=k$ and their $n^{th}$ derivatives $f^n(a)$, $g^n(a)$ exist and are not equal for some n. Further if $\lim\limits_{x\to a}\large\frac{f(a)g(x)-f(a)-g(a)f(x)+f(a)}{g(x)-f(x)}$$=4$, then the value of k is

asked Dec 31, 2013 by sreemathi.v

1 answer

The left hand derivative of $f(x)=[x]\sin(\pi x)$ at $x=k$, where $k$ is an integer is

asked Dec 31, 2013 by sreemathi.v

1 answer

If $f(x)=\left\{\begin{array}{1 1}\large\frac{\sin [x]}{[x]}&[x]\neq 0\\0&[x]=0\end{array}\right.$, where $[x]$ denotes the greatest integer less than or equal to x, then $\lim\limits_{x\to 0}f(x)$ equals

asked Dec 31, 2013 by sreemathi.v

1 answer

If $f(a)=2$, $f'(a)=1$, $g(a)=-1$, $g'(a)=2$, then the value of $\lim\limits_{x\to a}\large\frac{g(x)f(a)-g(a)f(x)}{x-a}$ is

asked Dec 31, 2013 by sreemathi.v

1 answer

$\lim\limits_{h\to 0}\large\frac{ln(1+2h)-2ln(1+h)}{h^2}=$

asked Dec 30, 2013 by sreemathi.v

1 answer

If $f(x)=\large\frac{1}{\sqrt{18-x^2}}$ then $\lim\limits_{x\to 3}\large\frac{f(x)-f(3)}{x-3}$ is

asked Dec 30, 2013 by sreemathi.v

1 answer

If $f(9)=9,f'(9)=4$ then $\lim\limits_{x\to 9}\large\frac{\sqrt{f(x)}-3}{\sqrt x-3}$ is

asked Dec 30, 2013 by sreemathi.v

1 answer

If $f(5)=15,f'(5)=3$ then $\lim\limits_{x\to 5}\large\frac{xf(5)-5f'(x)}{x-5}$ is

asked Dec 24, 2013 by sreemathi.v

1 answer

Evaluate : $\lim\limits_{h\to 0}\large\frac{(a+h)^2\sin(a+h)-a^2\sin a}{h}$

asked Dec 23, 2013 by sreemathi.v

1 answer

For $x\in R\lim\limits_{x\to \infty}\big(\large\frac{x-3}{x+2}\big)^x$=

asked Dec 20, 2013 by sreemathi.v

1 answer

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