例: (eax)′=a⋅eax ; (lnx2)′=1x2⋅2x 高阶导数的运算 (x^{a})^{(n)}=x^{a-n} \prod_{k=0}^{n-1} (a-k) (\frac{1}{x})^{(n)}=(-1)^n\frac{n!}{x^{n+1}} \quad\quad (n=1,2,...)(\ln x)^{(n)}=(-1)^{(n-1)}\frac{(n-1)!}{x^{n}...
TheDerivativetells us the slope of a function at any point. There areruleswe can follow to find many derivatives. For example: The slope of aconstantvalue (like 3) is always 0 The slope of alinelike 2x is 2, or 3x is 3 etc
what is the derivative of { f(x)=x^2*e^x } Would the answer simply be { 2x+e^x } What is the derivative of f(x) = x \sqrt{50}-x^2. What is the derivative of 2sqrt(x)? What's the derivative of (x-1)(x-7)^3+10?
Answer to: Find the derivative of the following functions: A) f(x) = e^(x^2 + x) - sqrt(ln x). B) f(x) = x^3 e^x. C) f(x) = (e^x)/(1 + x^2). By...
解析 Differentiate using the chain rule, which states that ( d/(dx)[f(g(x))]) is ( f()' (g(x))g()' (x)) where ( f(x)=e^x) and ( g(x)=2x^3). ( e^(2x^3)d/(dx)[2x^3]) Differentiate. ( 6e^(2x^3)x^2) 反馈 收藏 ...
Finding the derivative of other powers of e can than be done by using the chain rule. For example e2x^2is a function of the form f(g(x)) where f(x) = exand g(x) = 2x2. The derivative following the chain rule then becomes 4x e2x^2. ...
Find the derivative of {eq}f(x) = e^{\displaystyle x^{\displaystyle 2}} (x^3 + 4x) {/eq} Product rule for differentiation: The given differential can be evaluated using the product rule for differentiation. If u and v are two functions of x then according to the product rule {eq...
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Find the derivative of f(x) = (2x^2 - 6)(5x - 1) at x = 2. Find the derivative. frac{dy}{dx} if y(x)= sqrt{x^2+3} Find the derivative of y = e^{2x + 3}. Find the derivative of f(x) = \dfrac{\sin(\cos x)}{\sqrt{x. ...
The derivative off(x)=x2atx=1is View Solution The derivative off(x)=x2+2xatx=2is View Solution The derivative off(x)=2√x−1xis View Solution The anti - derivative off(x)=ex/2whose graph passes through the point (0,3) is : ...