WebJun 14, 2024 · $\frac {(x + h)^5 -x^5}{h}=\frac {x^5 + 5hx^4 + 10h^2x^3 + 10h^3x^2 + 5h^4x + h^5 - x^5}h = 5x^4 + 10hx^3+10h^2x^2+5h^3x + h^4\to 5x^4$ where as $\frac {5^{x+h} … Web1st step. All steps. Final answer. Step 1/1. The first derivative of f ( x) = 1 5 x 4 − 6 x will be. Apply basic rules of exponents. d d x [ ( 5 x 4 − 6 x) − 1 2] Differentiate using the chain …

What is the derivative of (5x)/e^x? Socratic

WebDerivative calculator. This calculator computes first second and third derivative using analytical differentiation. You can also evaluate derivative at a given point. It uses product quotient and chain rule to find derivative of any function. The calculator tries to simplify result as much as possible. 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 tspsc ae 2022 application

Find the Derivative - d/d@VAR f(x)=tan(5x) Mathway

WebLearn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule f(x)=3/5x-4/7. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (-\\frac{4}{7}) is equal to zero. The derivative of the linear function times a constant, is … WebFree Online Derivative Calculator allows you to solve first order and higher order derivatives, providing information you need to understand derivative concepts. … WebDerivatives. Integrals. Limits. Algebra Calculator. Trigonometry Calculator. ... \frac{\mathrm{d}}{\mathrm{d}x}(5x^{2}) Multiply x and x to get x^{2}. 2\times 5x^{2-1} The derivative of ax^{n} is nax^{n-1}. 10x^{2-1} Multiply 2 times 5. 10x^{1} Subtract 1 from 2. 10x . For any term t, t^{1}=t. tspsc adda