Calculus

\( \frac{d}{dx}\left(\frac{1}{x^2}\right) \)
\( \frac{d}{dx}\left(x^{\frac{1}{2}}\right) \)
\(\dfrac{d}{dx}\left(n^{x}\right)\)
\(\displaystyle \frac{d}{dx}\left(\frac{1}{e^x}\right)\)
\(\displaystyle \frac{d}{dx}\left(\tan^{-1}(x)\right)\)
\(\displaystyle \frac{d}{dx}\left(2e^{x}\right)\)
\(\displaystyle \frac{d}{dx}\ln\left(x^2\right)\)
\(\displaystyle \int \frac{1}{x^2+4}\,dx\)
\(\displaystyle \int \sec^3 x\, dx\)
\(\displaystyle \int x^{-1}\,dx\)
\(\frac{d}{dx}\left(5^x\right)\)
\(\frac{d}{dx}\left(5e^x\right)\)
\(\frac{d}{dx}\left(xe^x\right)\)
\(\frac{d}{dx}\sec^2(x)\)
\(\int \sin \left(x^{2}\right)\,dx\)
\(\int x e^{x}\,dx\)
\(\int x^{-3}\,dx\)
\(\int x^{1/2}\,\mathrm{d}x\)
\[ \frac{\sin x}{x} \]
\[ \frac{d}{dx} \left( 7^{x} \right) \]
\[ \frac{d}{dx}(x+y) \]
\[ \frac{d}{dx}\left(\frac{1}{x^{3}}\right) \]
\[ \frac{d}{dx}\left(\frac{6}{x}\right) \]
\[ \frac{d}{dx}\left(\sin^2(x)\right) \]
\[ \frac{d}{dx}\left(\sin\left(x^2\right)\right) \]
\[ \frac{d}{dx}\left(\tan^2(x)\right) \]
\[ \frac{d}{dx}\left(10^x\right) \]
\[ \frac{d}{dx}\left(3^x\right) \]
\[ \frac{d}{dx}\left(3e^x\right) \]
\[ \frac{d}{dx}\left(4^x\right) \]
\[ \frac{d}{dx}\left(4e^{x}\right) \]
\[ \frac{d}{dx}\left(6^x\right)=6^x\ln(6) \]
\[ \frac{d}{dx}\left(8^x\right) \]
\[ \frac{d}{dx}\left(b^{x}\right) \]
\[ \frac{d}{dx}\left(e^{-x}\right) \]
\[ \frac{d}{dx}\left(e^{x^2}\right) \]
\[ \frac{d}{dx}\left(x^{2}\right) \]
\[ \frac{d}{dx}\left(x^{3}\right) \]
\[ \frac{d}{dx}\left(x^{4}\right) \]
\[ \frac{d}{dx}\left(x^x\right) \]
\[ \frac{dy}{dx}=\frac{x}{y}. \]
\[ \int \cos^2(x)\,dx \]
\[ \int \cos^3(x)\,dx \]
\[ \int \cos\left(x^2\right)\,dx \]
\[ \int \csc^2(x)\, dx \]
\[ \int \frac{\ln x}{x^2}\, dx \]
\[ \int \frac{\sin x}{x}\,dx \]
\[ \int \frac{1}{\sqrt{1-x^{2}}}\,dx \]
\[ \int \frac{1}{1+x^{2}}\,dx \]
\[ \int \frac{1}{1+x}\,dx \]
\[ \int \frac{1}{e^{x}} \, dx \]
\[ \int \frac{1}{x^{2}}\,dx \]
\[ \int \frac{1}{x^2-1}\,dx \]
\[ \int \frac{1}{x}\,dx \]
\[ \int \frac{x}{x^2+1}\,dx \]
\[ \int \ln\left(x^2\right)\,dx \]
\[ \int \sec^2(x)\,dx \]
\[ \int \sin^2(x)\,dx \]
\[ \int \sin^3(x)\,dx \]
\[ \int \sqrt{1-x^2}\,dx \]
\[ \int \tan^2 x \, dx \]
\[ \int 3^{x}\,dx \]
\[ \int 3e^x\,dx \]
\[ \int e^{-x^{2}}\,dx \]
\[ \int e^{-x}\,dx \]
\[ \int e^{x^{2}}\,dx \]
\[ \int e^{x/2}\,dx \]
\[ \int x^{-1/2}\,dx \]
\[ \int x^2 \, dx \]
\[ \int x^3 \, dx \]
\[ \int x^4\,dx \]
\[ \text{Find the derivative of } \cos^{2}(x). \]
\[ \text{Find the derivative of } 2^x. \]
\[\frac{d}{dx}\left(\frac{1}{\sqrt{x}}\right)\]
\[\frac{d}{dx}\left(x^{e}\right)\]
\[\int 5^x \, dx\]
\[\int e^{x}\,dx\]
Find the derivative of \(6e^x\).
Find the derivative of \(e^{\frac{1}{x}}\).
Is \(f(x)=e\) convergent or divergent?
Maximum of \(13 \sqrt{x^2 – x^4} + 9 \sqrt{x^2 + x^4}\).
Minimum of \(8^{x} + 8^{-x} – 4\left(4^{x} + 4^{-x}\right)\).
Minimum value of \( (x+1)(x+2)(x+3)(x+4) \).
The initial value problem is \(x'(t) = (t-1) x^2(t)\), \(x(0) = -8\). Find \(x(1)\).
What is the derivative of \(e^x\)?

Calculus

Go Premium to remove ads