Differentiate: y = 3x/x^2 + 1 Differentiate: y = 1 + cos x/1 - cos x 1) Differentiate. f(x) = \ln(\frac{x^3 - 4}{x}). 2) Differentiate. y = 4^x. a) Differentiate g(x) = [(5 x - 1 ) / (2 x + 5)] + x^3. b) Differentiate g (x) = [(3 x - 2) /...
The mathematical formulas for the common derivatives are: d(ex)dx=exd(tanx)dx=sec2xd(xm)dx=mxm−1 Answer and Explanation: Given: y=e−9tanx Differentiate both sides of the exponential function with respect to the variablex. ...
∵dlny/dx=dlny/dy*dy/dx (chain rule) ∴dy/dx = (dlny/dx) / (dlny/dy) ln y = 3x ln x ∴dy/dx = (d3xlnx/dx) / (dlny/dy) = (lnx d3x/dx + 3x dlnx/x) / (1/y) = (3lnx + 3x*1/x) / (1/y) = 3y(lnx + 1) =3(x^3x)(lnx+1)参考: me ...
Differentiate the functiony=ln(cscx−cotx). Question: Differentiate the functiony=ln(cscx−cotx). Logarithm with Trigonometric Expressions: Suppose the difference of two trigonometric functions is written in the composition of the logarithm such asln(p(x)−q(x)),...
The derivative of a constant term is zero as the rate of change of a constant term is zero. Answer and Explanation:1 Given {eq}\displaystyle f(x) = \sin (\sin x) {/eq} Differentiating, we get {eq}\displaystyle \frac{d}{dx} f(x) =\frac{d}{dx} \sin (\sin x) {/eq} ...
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4(a)Differentiate(i) ln(3+2x^2) ,[2](i)2/(√(1+3x)) [2](b)Find the exact value of∫_1^3
need not be derived from first principles — the derivatives of sin x and cos x are cos x and -sin x, respectively. The derivative of the exponential function is the function itself — f(x) = f'(x) = e^x, and the derivative of the natural logarithmic function, ln x, is 1/x. ...
【题目】Differentiate with respect to (1 y=ln√(1-2x)2 y=ln(1/(2x+3))(3 y=ln(x^x√x)(4 y=ln(x√(2-x))5 y=ln((x+3)/(x-1))6 y=ln((x^2)/(3-x))(7) f(x)=ln((3x-4)^3)(8 f(x)=ln(x(x^2+1))9 f(x)=ln((x^2+2x)/(x-5)) ...
D. 均可 查看完整题目与答案 参考解析: 3x^2/(x^3+1)ln10 AI解析 重新生成最新题目 【单选题】如果将人眼比作照相机的话,则相当于暗盒的是( )。 查看完整题目与答案 【单选题】道德是人类社会生活中依据社会舆论、( )和内心信念,以善恶评价为标准的意识、规范、行为和活动的总称。 查看完整题目与答案...