Differentiate the following function. {eq}g(x) = \displaystyle \int_{1}^{x} e^{\sqrt t} dt {/eq} Differentiation with Boundaries: Whenever we need the 1st derivative of a definite integral, we'll not simplify the definite integral because it's a long process so we'll ju...
Differentiate Differentiate the following functions:(a)f(x)=(2x3−5x)(3x+1)(b)f(x)=x3(x2+1)4(c)f(x)=e5x Differentiation Consider a functionf(x)its derivative with respect toxcan be found byddxf(x)=f′(x) Derivate ofddx(f(x)g(x))=...
To differentiate the function(x3+sinx)5with respect tox, we will use the chain rule of differentiation. Here’s a step-by-step solution: Step 1: Identify the outer and inner functions Let: y=(x3+sinx)5 Here, the outer function isu5and the inner function isu=x3+sinx. ...
Differentiate the following function. {eq}y=x^{3}\ln (x) {/eq} Derivative of Product: The derivative of the product of two functions f(x) and g(x) can be found by applying the rule of differentiation of a product {eq}D[f(x) g(x)] =f'(x)g(x) + f(x)g'(x) {/eq...
Find the slope of the tangent to the curve y=x^2 at (-1/2,1/4). 02:12 Find the derivatives of the following function from first principle: x... 03:46 Find the derivatives of the following function from first principle: (... 03:17Exams...
∵dlny/dx=dlny/dy*dy/dx (chain rule) ∴dy/dx = (dlny/dx) / (dlny/dy) ln y = 3x ln x ∴dy/dx = (d3xlnx/dx) / (dlny/dy) = (lnx d3x/dx + 3x dlnx/x) / (1/y) = (3lnx + 3x*1/x) / (1/y) = 3y(lnx + 1) =3(x^3x)(lnx+1)参考: me ...
Differentiate the following. {eq}f(x) = \cos (5 - e^x) {/eq} Differentiation Strategy: When we differentiate the function f(x), then we put the sign as {eq}f'(x) {/eq}, which shows the first order derivative. If we have {eq}f''(x) {/eq}, then it represents the second...
Question: Differentiate the following function with respect to t: p(t) = sin(te^cos(t)) Differentiate the following function with respect to t: p(t) = sin(te^cos(t))Here’s the best way to solve it. Solution Share View the full answer Previous question Next ques...
百度试题 结果1 题目Differentiate the given function. f(x) = 相关知识点: 试题来源: 解析 f′(x) = (6x + 5) f′(x) = (6x + 5)反馈 收藏
百度试题 结果1 题目Differentiate the given function. g(x) = 3π 相关知识点: 试题来源: 解析 g′(x)=0 g′(x)=0反馈 收藏