Find the derivative of the function: y = x^2 e^(-x) Find the derivative of the function. h(x) = e^{x + 5} Find the derivative Sin^{-1}(x^2) +ln, sinhx Find the derivative of the following function: y = (x^2 - 2x) e^x. Find the derivative of the following functio...
Derivative Using Logarithm: Assume the given function to be equal toy. Then, take natural logarithm on both sides of this equation. Now, differentiate both sides of this equation with respect to x. Now, replace theyterms appearing in the derivative equation with the original fun...
Find the derivative of the function: y = (1/3) ln |ln x^3| Find the second derivative of y when y = ln (1 + ln(x)). Find the second derivative. k(x) = x ln x Find the derivative Sin^{-1}(x^2) +ln, sinhx Find the derivative of the function. f (x) = 6 ln (x ...
0 - 定义 $tanh$是双曲函数中的一个,$tanh()$为双曲正切。在数学中,双曲正切“$tanh$”是由基本双曲函数双曲正弦和双曲余弦推导而来。$$tanhx=\frac{sinhx}{coshx}=\frac{e^x-e^{-x}}{e^x+e^{-x}}$$ 其曲线如下图所示: 1 -导数$$\begin{align*}tanh^{'}(x)&=((e^x- ...
Find the derivative of the following function: h(x)=(e^{2x^4 - 8x^2+ x} ) - 7ln(x^5 - 9x + e^{3x}) Find the derivative of the following f(x) = \ln (x + e^{1 - 2x}) Find the derivative Sin^{-1}(x^2) +ln, sinhxExplore...
Find the derivative Sin^{-1}(x^2) +ln, sinhx Find the derivative of the function f(x) = \sin(x^2 \cos(e^x)) Find the derivative of the function y = x sin({x^-2}). Find the derivative y' using Logarithmic Differentiation. a) y=\dfrac{(\sin\ 3x)^{2}(x^{5}-7x)^{6...
Find the derivative of f(x) = e^{x^{2 + x \sin^{-1} {(3 \ln {(x)} + 1)} Find the derivative Sin^{-1}(x^2) +ln, sinhx Find the derivative of (x^2(2 + x^(1/2)))/(x^4). Find the derivative of the function: y = (e^u - e^(-u)) / (e^u ...
Find the first derivative of f(x)=x^2 ln x. Find the derivative of the following function: y = 3(5 - x^2)^5. Find the derivative of the following function: y = cosh^{-1} \; \left ( \dfrac{x}{4} \right ). Find the derivative Sin^{-1}(x^2) +ln, sinhx...
Find the derivative Sin^{-1}(x^2) +ln, sinhx Find the derivative of the function. y = ln (t^2 + 4) - 1 / 2 arctan t / 2 Find the derivative of y = e^{x - e^{11x with respect to x. Compute the derivative of the following function. f(x)= x...