Web32 minutes ago. The given function is y = e 5 x cos 3 x. Differentiate the above function by using the below-mentioned property. Product rule for derivative: d d x u v = u d d x v + v … Web32 minutes ago. The given function is y = e 5 x cos 3 x. Differentiate the above function by using the below-mentioned property. Product rule for derivative: d d x u v = u d d x v + v d d x u. Chain rule for derivative: d d x f g x = f g x · g ' x. Common derivative of the exponential function: d d x e x = e x.

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WebThe derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of … Webe 3 x. here are my steps. step 1 - identify the inner and outer functions. therefore I identified outer function as e x inner function as 3 x. step 2- i used derivative of outer function with respect to inner times the derivative of inner function. so the answer as i see it should be. e ( 3 x) ( 3 2 x − 1 / 2) how are prosthetics made

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Web$$3 e^{3 x} + 3 \cos{\left(3 x \right)}$$ 3*E^(3*x) + 3*cos(3*x) Detail solution Differentiate term by term: The derivative of a constant times a function is the constant times the derivative of the function. Let . The derivative of is itself. Then, apply the chain rule. Multiply by : The derivative of a constant times a function is the ... WebCalculus. Find the Derivative - d/d@VAR f (x)=e^3. f (x) = e3 f ( x) = e 3. Since e3 e 3 is constant with respect to , the derivative of e3 e 3 with respect to is 0 0. WebSep 18, 2024 · Explanation: Note that 1 ex = e−x → f (x) = 3x3ezx. Now we can use the product rule. f (x) = g(x)h(x) → f '(x) = g'(x)h(x) + f (x)g'(x) The power rule and definition of the derivative of eu give us d dx (3x3) = 9x2, d dx (e−x) = − e−x. Thus... how are prose and poetry different