Differentiate the function: {eq}y = x + \frac{2}{x} + \frac{2}{x^2} {/eq} Derivative: The derivative of the sum (or difference) of two or more functions is the sum (or difference) of derivatives of the functions. To find the derivative, we use the formula ...
Answer to: Differentiate the function y = 8 x 2 - 9 /6 x 3 + 7 By signing up, you'll get thousands of step-by-step solutions to your homework...
1. Identify the Function: We have y=tanx. Recall that the tangent function can be expressed in terms of sine and cosine: tanx=sinxcosx 2. Apply the Quotient Rule: Since tanx is a quotient of two functions (sine and cosine), we will use the quotient rule for differentiation. The quo...
% Since we know the formula and when it starts and stops each piece % we can compute the derivative analytically: dLdt = zeros(1,length(L)); range1 = t>=0 & t<=20; dLdt(range1) = -0.5; range2 = t>40 & t<=60; dLdt(range2) = 0.5; ...
COUNTIF Function The formula or syntax for the COUNTIF function is as follows: =COUNTIF(range, criteria) You will require the following arguments to perform a task with this function: ArgumentRequired/OptionalExplanation range Required Indicates the range of cells where the function will apply the...
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: {eq}\frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1} {/eq} another is the formula of differentiation of exponential function: {eq}\frac{d}{...
Answer and Explanation:1 Recall that the chain rule states thatddx[f(g(x))]=f′(g(x))⋅g′(x) So in this case we have thatf(x)=(x)and... Learn more about this topic: Function Differentiation Using Chain Rule | Formula & Examples ...
This pattern suggests the following general formula for powers of n where n is a positive integer. Power Rule In fact, the power rule is valid for any real number n and thus can be used to differentiate a variety of non-polynomial functions. The following example illustrates some applications...
1.Identifyuandv: - Letu=3x - Letv=x+tanx 2.Differentiateuandv: - Differentiateu: u′=ddx(3x)=3 - Differentiatev: v′=ddx(x+tanx)=1+sec2x 3.Apply the Quotient Rule: - Substituteu,u′,v, andv′into the quotient rule formula: ...
The function differentiates each polynomial piece separately, and ignores jump discontinuities between polynomial pieces during differentiation. For the B-form, the function uses the [PGS; (X.10)] formulas for differentiation. For the stform, differentiation relies on knowing a formula for the ...