WebSymbolab is the best step by step calculator for a wide range of math problems, from basic arithmetic to advanced calculus and linear algebra. It shows you the solution, graph, detailed steps and explanations for each problem. … WebCalculus Find the Second Derivative y=10e^x y = 10ex y = 10 e x Find the first derivative. Tap for more steps... f '(x) = 10ex f ′ ( x) = 10 e x Find the second derivative. Tap for more steps... f ''(x) = 10ex f ′′ ( x) = 10 e x
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WebDec 20, 2024 · Example \(\PageIndex{2}\):Using Properties of Logarithms in a Derivative. Find the derivative of \(f(x)=\ln (\frac{x^2\sin x}{2x+1})\). Solution. At first glance, taking this derivative appears rather complicated. However, by using the properties of logarithms prior to finding the derivative, we can make the problem much simpler. WebJun 20, 2016 · Since the derivative of e^x is also e^x, when you differentiate the function, the e^x remains, and it is also multiplied by the 5, giving the derivative of, again, 5e^x. … notorious big full album
Derivative of e^2x - Formula, Proof, Examples - Cuemath
WebFind derivative: y= 15x^2 - xsinx. y^1= 30x-sinx-xcosx. Derivative of [tanx] sec^2x. Derivative of [secx] secx tanx. Derivative of [cscx] cscx cotx. ... (5e^x) all over (5e^x)^2-5e^xcscx[cotx+1] all over (5e^x)^2. y^1 = -cscx[cotx+1]-----5ex^2. y= 5x^2 - 7cotx + 5e^x = 10x - 7(-csc^2x) + 5e^x. y^1 = 10x+7csc^2x+5e^x. find slope of tangent line ... WebThen, apply the chain rule. Multiply by d d x ( 5 e x − e − 2 x 2): Differentiate 5 e x − e − 2 x 2 term by term: The derivative of a constant times a function is the constant times the … WebAug 18, 2016 · Worked example: Derivative of sec(3π/2-x) using the chain rule. Worked example: Derivative of ∜(x³+4x²+7) using the chain rule. Chain rule capstone. Proving the chain rule. Derivative rules review. Math > ... 1 e e^2 e^3 With every jump to the right, … how to sharpen smashbox eyeliner