WebFind an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = −4 and g'(2) = 6. (Enter your answer as an equation in terms of y and x.) ... Differentiate the function. g(t)=2t^-3/4. calculus. Show that the function f(x)= x-6 is not differentiable at 6. Find a formula for f' and sketch its graph. calculus. WebWhat is the derivative of a Function? The derivative of a function represents its a rate of change (or the slope at a point on the graph). What is the derivative of zero? The …
SOLVED:Differentiate the function. g(t) = 2t^-3/4 - Numerade
WebFind the Derivative - d/d@VAR G(t)=(1-2t)/(3+t) Step 1. Differentiate using the Quotient Rule which states that is where and . Step 2. Differentiate. Tap for more steps... Step 2.1. By the Sum Rule, the derivative of with respect to is . Step 2.2. Since is constant with respect to , the derivative of with respect to is . Web\frac{\left(2t^{1}+6\right)\frac{\mathrm{d}}{\mathrm{d}t}(t^{1})-t^{1}\frac{\mathrm{d}}{\mathrm{d}t}(2t^{1}+6)}{\left(2t^{1}+6\right)^{2}} For any two differentiable functions, the derivative of the quotient of two functions is the denominator times the derivative of the numerator minus the numerator times the derivative of the … merchant collector
13.2: Derivatives and Integrals of Vector Functions
WebDec 27, 2024 · Explanation: differentiate using the chain rule. given g(t) = f (h(t)) then. g'(t) = f '(h(t)) ×h'(t) ← chain rule. g(t) = e− 3 t2. ⇒ g'(t) = e− 3 t2 × d dt ( − 3 t2) d dt ( − 3 t2) = d dt ( − 3t−2) = 6t−3 = 6 t3. WebFree Derivative Quotient Rule Calculator - Solve derivatives using the quotient rule method step-by-step ... Equations Inequalities Simultaneous Equations System of Inequalities Polynomials Rationales Complex Numbers Polar/Cartesian Functions Arithmetic & Comp. Coordinate Geometry Plane Geometry Solid ... WebFind the Derivative - d/d@VAR g(t)=(t^3-3t-2)/(t^2+1) Step 1. Differentiate using the Quotient Rule which states that is where and . Step 2. Differentiate. Tap for more steps... Step 2.1. By the Sum Rule, the derivative of with respect to is . Step 2.2. Differentiate using the Power Rule which states that is where . how old is busy philipps