WebAn object with a mass of 4kg is traveling at 3 sm . If the object is accelerated by a force of f (x)= 2x2 −x +3 ... 3.04 skgm Explanation: Given m −Mass of the oject = 4kg u → Initial … WebDec 23, 2024 · Differentiate u = x^2 + 1 with respect to x to get du/dx = 2x and differentiate y = u^7 with respect to u to get dy/du = 7u^6. Multiply dy/du by du/dx to cancel out the du and get dy/dx = 7u^6 * 2x = 14x * u^6. Substitute u = x^2 + 1 into dy/dx = 14x * u^6 to get your answer, which is dy/dx = 14x (x^2 + 1)^6. Thanks! We're glad this was helpful.
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WebFind the derivative of x+12 − 3x−1x 2 Medium Solution Verified by Toppr Let f(x)= x+12 − 3x−1x 2 f(x)= dxd (x+12)− dxd (3x−1x 2) By quotient rule f(x)=[ (x+1) 2(x+1) dxd (2)−2 … WebLearn how to solve differential calculus problems step by step online. Find the derivative of (3x^3+2x^2-1)/(x-1). Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. grand block auto
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WebMar 22, 2024 · Ex 5.7, 1 Find the second order derivatives of the function 𝑥^2 + 3𝑥 + 2 Let 𝑦 = 𝑥^2 + 3𝑥 + 2 Differentiating 𝑤.𝑟.𝑡.𝑥 𝑑𝑦/𝑑𝑥 = (𝑑(𝑥^2 + 3𝑥 + 2))/(𝑑𝑥 ) 𝑑𝑦/𝑑𝑥 = (𝑑(𝑥^2))/𝑑𝑥 + (𝑑(3𝑥) )/𝑑𝑥 + (𝑑(2) )/𝑑𝑥 𝑑𝑦/𝑑𝑥 = 2𝑥+3+0 𝒅𝒚/𝒅𝒙 = 𝟐𝒙 + 𝟑 Again Differentiating 𝑤.𝑟 ... WebDerivative calculator (A.K.A differentiation calculator) is used to determine the rate of change of the given function with respect to its independent variable. The function can be … Web15.1k views. asked Sep 10, 2024 in Mathematics by Sagarmatha (55.0k points) Find the derivative of. 2/x+1-x 2 /3x-1. limits. derivatives. class-11. chinchilla one long table