\int sin(\frac{x}{3})+(\frac{1}{7}x)+7√ 3 \ dx= Integrate. \ \int \left(\frac{3}{5x} - \frac{4}{x^{\frac{2}{3}\right) dx Integrate. \int x\tan(x) dx Integrate. \int \cos (9x)e^{29 \sin(9x)} dx Integrate: \int \frac{dx}{x(1+x^2)} Integrate...
Determine the value of the derivative of the function x3+ln(xy2)−1=0 at x=1 and y=1. Implicit Differentiation: Consider an implicitly defined function via an equation f(x,y)=0. Such an equation may define the y variable as a function of x w...
Answer to: Find the derivative of x^{4 } \ln(x). By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can...
Answer to: Use the Midpoint Rule with n = 3 subintervals to approximate the value of \int_2^8 ln x dx (Do not attempt to combine the terms down...
Answer to: Find the first derivative: f(x) = ln 2x 1 - ln 2x By signing up, you'll get thousands of step-by-step solutions to your homework...
Find the derivative of y with respect to x. (Hint: Before differentiating, express in terms of exponentials and simplify.) y=(x4−1) csch(2lnx) First Derivative of Hyperbolic Functions: If there is a product o...
Answer to: Let y = ln (x^2 + y^2). Determine the derivative y ' at the point (1, 0). y '(1) = By signing up, you'll get thousands of step-by-step...
Use an appropriate substitution to evaluate (x√(x+2)dx) Let f(t)=4t-24 and consider the two functions A\overline(t)=\int^{t}_{6} f(t)dt and B\overline(t)=\int^{t}_{9}f(t)dt Complete the following: (a) Evaluate A(...
(b)f(x)=ln(x2+3x) Chain Rule of Derivative: Chain rule of derivative is used to determine the derivative of the composite functions. It can be given by the following formula: ddxf(g(x))=f′(g(x))∗g′(x) xn. ddxxn=nxn−1 ...
What is the derivative off(x)=xln(x)? Differentiation This question is from the differentiation and we have to find out the first-order derivative of the given function. We will use the product rule to solve this. The product rule is given below ...