n.派生词，衍生物， 衍生字 ，派生物
adj.模仿他人的，缺乏独创性的

原形：derivative复数：derivatives

Tom's paintings are really quite derivative.
汤姆的画实在没有创意。
Eric's just insisting that we cannot understand writing to be derivative.
埃里克只是想说明我们不能将书写理解成为衍生物。
The derivative of a function represents the rate at which that function is changing.
函数的导数表示该函数变化的速度。
In calculus, taking the derivative of a polynomial often simplifies it.
在微积分中，对多项式求导通常会使其简化。
Understanding the concept of derivatives is crucial for studying differential equations.
理解导数的概念对于学习微分方程至关重要。
The derivative of f(x) = x^2 at x = 3 is f'(3) = 6.
函数f(x) = x^2在x = 3处的导数是f'(3) = 6。
Differentiation, the process of finding a derivative, is a fundamental operation in calculus.
求导，即找到一个函数的导数的过程，是微积分中的一个基本运算。
If the derivative of a function is positive, the function is increasing.
如果一个函数的导数为正，则该函数是增函数。
To find the slope of a tangent line to a curve, you need to compute the derivative of the curve's equation at the point of tangency.
要找到曲线的切线斜率，你需要计算曲线方程在切点处的导数。
Newton's method, used for finding roots of functions, involves repeatedly applying derivatives to approximate the solution.
牛顿法，用于求解函数的根，涉及反复应用导数来近似解。
The second derivative of a function tells us about the concavity of the graph and the rate of change of the first derivative.
函数的二阶导数告诉我们图形的凹凸性以及一阶导数的变化率。
In physics, the derivative of position with respect to time gives the velocity of an object.
在物理学中，位置关于时间的导数给出了物体的速度。