Q:# What is the derivative of the square root of x?

A:### Quick Answer

**The derivative of the square root of x is one-half times one divided by the square root of x.** The square root of x is equal to x to the power of one-half.

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The derivative of x to the power of n is n times x to the power of n minus one. This can be used for x to the power of one-half. One-half minus one is negative one-half, so the derivative is one-half times x to the power of negative one-half. X to the negative n equals one divided by x to the n, so the derivative is one-half times one divided by x to the power of one-half. Since x to the power of one-half is the square root of x, the final result is one-half times one divided by the square root of x.

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## How do you find the equation of the tangent line to the curve?

A:Find the equation for the tangent line to a curve by finding the derivative of the equation for the curve, then using that equation to find the slope of the tangent line at a given point. Finding the equation for the tangent line requires a knowledge of calculus and the formula for the slope.

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## What is the derivative of tan 2x?

A:

Full Answer >**The derivative of tan(2x) is equal to two times the secant squared of two times x.**Using mathematical notation, the equation is written as d/dx tan(2x) = 2sec^2(2x).Filed Under: - Q:
## How does one consider the differential equation?

A:A person can consider a differential equation by determining an initial condition, as a differential equation is an equation that gives the derivative of an unknown function in terms of the function and the independent variable. A differential equation is considered differently depending on whether it is ordinary or partial and linear or non-linear.

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## What is logarithmic differentiation?

A:Logarithmic differentiation refers to the process in calculus of finding the derivative of a function by using the properties of the natural logarithmic function. The natural logarithmic function is notated by "ln."

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