পর্যায়ক্রমিক অন্তরজ (Successive Differentiation)
এবংf(x)=ln(1−x) এবং g(x)=tanx2f(x)=\ln(1-x)\ এবং\ g(x)=\tan x^2f(x)=ln(1−x) এবং g(x)=tanx2
f′′(2)f''\left(2\right)f′′(2)এর মান কত?
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f(x)=ln(1−x)⇒f′(x)=−11−x⇒f′′(x)=−1(1−x)2∴f′′(2)=−1(1−2)2=−1(−1)2=−1 \begin{aligned} f(x) & =\ln (1-x) \\ \Rightarrow f^{\prime}(x) & =\frac{-1}{1-x} \\ \Rightarrow f^{\prime \prime}(x) & =\frac{-1}{(1-x)^{2}} \\ \therefore f^{\prime \prime}(2) & =\frac{-1}{(1-2)^{2}} \\ & =\frac{-1}{(-1)^{2}} \\ & =-1\end{aligned} f(x)⇒f′(x)⇒f′′(x)∴f′′(2)=ln(1−x)=1−x−1=(1−x)2−1=(1−2)2−1=(−1)2−1=−1
f(x)=lnx,g(x)=(x+1+x2)f(x)=\ln x, g(x)=\left(x+\sqrt{1+x^{2}}\right)f(x)=lnx,g(x)=(x+1+x2)
y=cos2x y=\sqrt{\cos 2 x} y=cos2x হলে, (yy1)2=? \left(y y_{1}\right)^{2}= ? (yy1)2=?
y=1x=x−1 y=\frac{1}{x}=x^{-1} y=x1=x−1 এর n n n তম অন্তরক সহগ নিচের কোনটি ?
y=ex y=e^{x} y=ex হলে, y4 \mathrm{y}_{4} y4 কত ?
