{eq}y=3^x {/eq} Question: Differentiate wrt x {eq}y=3^x {/eq} Derivative of a Power The derivative of a power comes directly related to the concept of the logarithm. We can obtain, the following general rule for the case of a constant base, ...
Chapter 8/ Lesson 6 52K Learn how to differentiate a function using the chain rule of differentiation. Find various chain rule derivative examples with various function types. Explore our homework questions and answers library Search Browse Browse by subject...
Differentiate the function f(x)=ex+xe Differentiation Strategy: The derivative of the expression of the given type is solved easily with the following two formulas: One is the power rule that is given by:ddx(xa)=a⋅xa−1another is the formula of differentiation of exponential function:ddx...
Three digit numbers in which the middle one is a perfect square are fo... 04:32 Differentiate the following functions with respect to x f(x)=sqrt(x)+... 01:52 If I1=int(-1)^1(tan^(-1)x+1/x)dx&I2=int(-1)^1(cot^(-1)x+cot^(-1)1/x)dx... 02:34 The number of di...
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(y = e^x, in mathematical terms), which has a particularly important place in calculus, as the function remains the same when differentiated. Negative exponentials (that is, an exponential taken to a negative power) are a special case of this process, but are relatively straightforward to ...
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Understand what the power of a quotient property rule is. Learn about the power of a quotient property in simplifying simple and complex exponential expressions. Related to this Question Differentiate G(x) = fraction {3x-2}{2 x + 1 + x^3} ...
While dealing with cases where the need to find the derivative of a function is needed than in most of the cases some functions are used or seen more it is better to memorize the derivative of such functions. One of the most used functions isf(x)=xnwherenis the power ofx. The derivativ...