WebTo find the implicit derivative, take the derivative of both sides of the equation with respect to the independent variable then solve for the derivative of the dependent variable with respect to the independent variable. What is an implicit derivative? Implicit diffrentiation is the process of finding the derivative of an implicit function. WebFind the Derivative - d/d@VAR f(x)=4x^2-3x-2. Step 1. By the Sum Rule, the derivative of with respect to is . Step 2. Evaluate. Tap for more steps... Step 2.1. Since is constant with respect to , the derivative of with respect to is . Step 2.2. Differentiate using the Power Rule which states that is where .
Find the Derivative - d/d@VAR f(x)=4x^2-3x-2 Mathway
WebNov 29, 2024 · The derivative of e to the power of 4x, represented as d/dx (e^4x), is an essential concept in calculus. When differentiating e4x, the resulting function is 4e^4x, which represents the rate of change of the exponential function e with respect to the variable x. WebQuestion. Transcribed Image Text: (a) Find a function f that has y = 4 – 3x as a tangent line and whose derivative is equal to ƒ' (x) = x² + 4x + 1. (b) Find the area under the curve for f (x) = x³ on [−1, 1]. e2t - 2 (c) Determine where the function is f (x) = cos (t²-1) + 3 (d) Express ² sin (x²) dx as limits of Riemann sums, using ... church refreshment ideas
1.4: The Derivative Function - Mathematics LibreTexts
WebDerivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series ... +4x^{\frac{5}{2}}+2x) en. image/svg+xml. Related Symbolab blog posts. Practice Makes Perfect. Learning math takes practice, lots of practice. Just like running, it ... Webd/dx arccsc(x) = - 1 / ( x √(x²-1)) ; for 0≤x WebJan 21, 2024 · ln(4x) is a composite function, composed of the functions lnx and 4x. Because of that, we should use the chain rule: dy dx = dy du du dx. We already know that (lnx)' = 1 x. So, we want what's inside of the natural logarithm to be a single variable, and we can do this by setting u = 4x. Now we could say that (lnu)' = 1 u, with respect to u. church reformers