WebFind the derivative of y' = f'(x) = (5e^x-e^(-2x²))^(1/2) ((5e to the power of x minus e to the power of (minus 2x squared)) to the power of (1 divide by 2)) - functions. Find the … WebDerivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series ... (5e^{x}\right) en. image/svg+xml. Related Symbolab blog posts. My Notebook, …
derivatives - Differentiation of 5^x - Mathematics Stack Exchange
WebFind the Derivative - d/dx y=5e^x. y = 5ex y = 5 e x. Since 5 5 is constant with respect to x x, the derivative of 5ex 5 e x with respect to x x is 5 d dx [ex] 5 d d x [ e x]. 5 d dx [ex] 5 … WebTranscribed Image Text: 5. Find the gradient of the function f(x, y, z) = z²e¹² (a) When is the directional derivative of f a maximum? (b) When is the directional derivative of f a minimum? diata medical weight loss
Derivative of aˣ (for any positive base a) (video) Khan Academy
WebThe function f, its first derivative, and second derivative are shown below. f(x) = 14ln(x) - 5x2 f'(x) = 14 - 10x² X (a) Find the critical point of f. X= (b) Evaluate f" at the critical point you obtained in (a). at the critical point is: f"(x) = (c) What is the concavity of f at the critical point you found in part (b)? Concave -Select ... WebWell the derivative of 5x with respect to x is just equal to 5. And the derivative of negative 3y with respect to x is just negative 3 times dy/dx. Negative 3 times the derivative of y with respect to x. And now we just need to solve for dy/dx. And as you can see, with some of these implicit differentiation problems, this is the hard part. WebNov 22, 2024 · \(\ds \frac \d {\d x} x^x\) \(=\) \(\ds \frac \d {\d x} \map \exp {x \ln x}\) Definition 1 of Power (Algebra) \(\ds \) \(=\) \(\ds \paren {\frac \d {\map \d {x \ln x ... diatamaciamacious earth pool