WebDec 23, 2024 · Differentiate u = x^2 + 1 with respect to x to get du/dx = 2x and differentiate y = u^7 with respect to u to get dy/du = 7u^6. Multiply dy/du by du/dx to cancel out the du and get dy/dx = 7u^6 * 2x = 14x * u^6. Substitute u = x^2 + 1 into dy/dx = 14x * u^6 to get your answer, which is dy/dx = 14x (x^2 + 1)^6. Thanks! We're glad this was helpful. Webintegrate x sin(x^2) integrate x sqrt(1-sqrt(x)) integrate x/(x+1)^3 from 0 to infinity; integrate 1/(cos(x)+2) from 0 to 2pi; integrate x^2 sin y dx dy, x=0 to 1, y=0 to pi; View more examples » Access instant learning tools. Get immediate feedback and guidance with step-by-step solutions for integrals and Wolfram Problem Generator. Learn ...
derivative+of+y=x^3+3x^2 - de.symbolab.com
Web2 Answers Sorted by: 5 The equals sign should only be used for equality. For example, when finding the derivative of x 2, please do not write " x 2 = 2 x ". It does not make sense. If f ( x) = x 2, then f ′ ( x) = 2 x would be a better way to state the derivative. WebCalculus Derivative Calculator Step 1: Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth … how big is a chevy suburban
Find the derivative of ((x^2-x-2)^3)/(x^3-4x) SnapXam
WebLearn how to solve integrals with radicals problems step by step online. Find the derivative of ((x^2-x-2)^3)/(x^3-4x). Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\\displaystyle h(x) = \\frac{f(x)}{g(x)}}, where {g(x) \\neq 0}, then {\\displaystyle h'(x) = \\frac{f'(x) \\cdot g(x) - … WebFeb 25, 2016 · How do you find the derivative of 3 x2? Calculus Basic Differentiation Rules Power Rule 1 Answer Jim G. Feb 25, 2016 − 6 x3 Explanation: write 3 x2 as 3x−2 using the power rule d dx (axn) = naxn−1 ⇒ d dx (3x−2) = −2 × 3x−3 = − 6 x3 Answer link WebThe quotient rule of partial derivatives is a technique for calculating the partial derivative of the quotient of two functions. It states that if f (x,y) and g (x,y) are both differentiable functions and g (x,y) is not equal to 0, then: ∂ (f/g)/∂x = (∂f/∂xg - f∂g/∂x)/g^2 ∂ (f/g)/∂y = (∂f/∂yg - f∂g/∂y)/g^2 how big is a chick fil a medium drink