WebThe derivative of f(x) = x^3 - 6x^2 + 9x is f'(x) = 3x^2 - 12x + 9. Setting f'(x) = 0, we have 3x^2 - 12x + 9 = 0, which can be solved using the quadratic formula to find x = 1 and x = 3. These are the critical points of the function. ... Find the critical points of the function f(x) = x^3 + 3x^2 - 9x Solution: To find the critical points, we ... WebQuestion: If F = x^(3) y + 2xy^(2) + 3x+ 4y - 5 find partial derivative of F with respect to x. If F = x^(3) y + 2xy^(2) + 3x+ 4y - 5 find partial derivative of F with respect to x. Expert Answer. Who are the experts? Experts are tested by Chegg as specialists in their subject area. We reviewed their content and use your feedback to keep the ...
What is the derivative of #tan^2(3x)#? - Socratic.org
WebApr 3, 2024 · The derivative of cos 2 (x) is, $$ \frac{d}{dx} (cos^2x) \;=\; -2 cos(x) \cdot sin(x) \;=\; -sin^2x $$ The derivative of cos 2 x is the the derivative of trignometric function which is somehow complex for students that cannot remember trignometric identities. For such students, derivative solver is the great tool for calculating ... WebJan 28, 2024 · Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange five nights at mlg
Worked example: Derivative of √(3x²-x) using the chain rule
WebTranscribed 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 … WebFind the Derivative - d/dx y=2^ (3x) y = 23x y = 2 3 x Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [ f ( g ( x))] is f '(g(x))g'(x) f ′ ( g ( x)) g ′ ( x) where f (x) = 2x f ( x) = 2 x and g(x) = 3x g ( x) = 3 x. Tap for more steps... 23x ln(2) d dx [3x] 2 3 x ln ( … WebFind the Derivative - d/d@VAR f (x)=4x^2-3x-2 f (x) = 4x2 − 3x − 2 f ( x) = 4 x 2 - 3 x - 2 By the Sum Rule, the derivative of 4x2 −3x− 2 4 x 2 - 3 x - 2 with respect to x x is d dx[4x2]+ d dx [−3x]+ d dx [−2] d d x [ 4 x 2] + d d x [ - 3 x] + d d x [ - 2]. d dx [4x2]+ d dx [−3x]+ d dx[−2] d d x [ 4 x 2] + d d x [ - 3 x] + d d x [ - 2] five nights at monkeys