Exponential functions always have a linear variable as a power of constant base and an increasing monotonic graph. Are these e^√x and e^(x^2+1) functions also exponential functions. What is the unique characteristic for which a function is said exponential and do these functions has the same traits. Why they do not have a monotonic graph? Which e^x has. Do they need to satisfy the pre defining properties an exponential function should satisfy i.e. ( base>0, base must not be 1, and power always belongs to real set (R)). Please clarify over each point.

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
$f(x,y)=x^3-6xy+8y^3$

$\frac{1}{\sec <!--\; \; -->(x)}$ in derivative?

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How to find ${\displaystyle lim\frac{e^t-1}{t}}$ as ${\displaystyle t\to 0}$ using l'Hospital's Rule?

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What is the derivative of ${\displaystyle f\left(x\right)=\ln \left[x^9{(x+3)}^6{(x^2+7)}^5\right]}$ ?

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How to find derivatives of parametric functions?

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